x - 3y = 17
x = 2y + 13
What are the steps for solving these?

Answers

Answer 1

Answer:

  (x, y) = (5, -4)

Step-by-step explanation:

The second equation gives you an expression for x that can be substituted into the first equation.

  (2y +13) -3y = 17 . . substitute for x in the first equation

  -y = 4 . . . . . . . . . . . subtract 13 and simplify

  y = -4

  x = 2(-4) +13 = 5 . . . use the second equation to find the value of x

The solution is (x, y) = (5, -4).

_____

Additional comment

When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...

substitutionelimination

Substitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).

Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.

The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.

One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.

X - 3y = 17x = 2y + 13What Are The Steps For Solving These?

Related Questions

What is the product in simplest form? State any restrictions on the variable. Is it 1,2,3 or 4

Answers

Answer: I think its C

Step-by-step explanation:

solve for y
3 (3y - 5) = 34
Simplify as much as possible


:)) thxx

Answers

Answer:

y=49/9

Step-by-step explanation:

Distribute 3 with 3y and -5

3 times 3y is 9y

3 times -5 is -15

So the equation now looks like this:

9y-15=34

Add 15 on both sides:

9y=49

Divide 9 on both sides

So y=49/9

Since there is no common value to divide by y is 49/9

If you want the decimal version it is 5.44=> (=> meaning continuing forever)

Hope this helps!

You barrow 300$ for 5 years at an interest of 4% what is the interest you paid

Answers

Answer:

$60

Step-by-step explanation:

There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.

If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.

5*(300*4%)

which is:

5*(300*.04)

which becomes:

5*12

Which is:

$60



If f(x) = 2x – 5, then what is the value of f(2) + f(5)

Answers

Answer:

4

Step-by-step explanation:

what is the slope of the line?

Answers

Answer:

5/3

Step-by-step explanation:

Use rise over run

it goes up five and goes right three.

If it were to go to the left it would be negative

Same rules apply if it were to go down it would be negative

5/3. It goes up five and over three. Use rise over run

Which of the following is the best definition of vertical angles?

Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.

Answers

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

please help! (more info on photo)

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Let's rearrange the terms to convert the equation into slope - intercept form ~

[tex] \sf3x - 2y = - 28[/tex]

[tex] \sf - 2y = - 28 - 3x[/tex]

[tex] \sf2y = 28 + 3x[/tex]

[tex] \sf y = \dfrac{28}{2} + \dfrac{3x}{2} [/tex]

[tex] \sf y = \dfrac{3}{2} x + 14[/tex]

I hope it helps ~

If you roll two fair six-sided dice what is the probability that the sum is:

Answers

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

5. What are the solutions to the equation (x - 1)(x + 2) = -2?

Answers

I hope this helps. Comment if any doubt.

Evaluate the expression please.
Evaluate the expression.

3–

10÷

2+1

Answers

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Answer:

Step-by-step explanation:

Expert-Verified Answer

1 person found it helpful

author link

jayilych4real

Some useful tips to help you write a five-paragraph essay are:

Choose a topic

Make suitable claims

Make use of supporting details

Make use of rhetorical appeals

Make use of counterclaims and rebuttals

Restate your main points

Conclude.

HELP PLEASE AND THANK UUU

Answers

Answer: Score on a science test, D, Average temperature

Step-by-step explanation:

A: Score on a science test(dependent variables are the "effects" of the independent variable, and number of hour studied results in the score on the science test)

B: D (the input will always remain the same but the output is dependent on the independent variable, so in this case the input is the independent variable)

C:Average temperature( the temperature depends on how far it is from the equator, thus making it the dependent variable in this relationship)

Hope it helps!

:)

Solve for x plsss I need the answer ASAP plsss

Answers

Answer:

106 degrees

Step-by-step explanation:

180 degrees in a triangle divided by three

60 minus 23 equals 37

37 times 2 is 74

180 minus 74 equals 106

Hope it's right :)

what is 1+1-2+3+1-4+5-5+6+2-8+8 x 2-16+4x5-20 = ?

first to answer correctly gets marked brainliest

Answers

Answer: The answer is 0.

is the constant rate increasing or deceasing

Answers

Increasing most likely
increasing i’m pretty sure

There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *

Answers

Answer:

20 cups

Step-by-step explanation:

Michelle: 10 3/5 cups made

Leslie: 9 2/5 cups made

Steps:

First, let's turn each number into decimal form.

10 3/5 = 10.6

9 2/5 = 9.4

Then, add

9.4 + 10.6 = 20

Conclusion

They made 20 cups in all

Note:

Hope this helped :)

Have a nice day

Reply with any questions or concerns please :D

given that 4 : 6 = 3 : (m+2), find m.

Answers

Answer:

Step-by-step explanation:

if f(x)=2x^2-1, then f(-3)=

Answers

Answer:

f(-3) =17

Step-by-step explanation:

f(x)=2x^2-1

Let x = -3

f(-3)=2(-3)^2-1

     = 2(9) -1

     = 18-1

     17

Look at the model. Name three equivalent fractions for the part that is shaded

Answers

Answer:

1. 2/6

2. 1/3

3. 3/9

Step-by-step explanation:

I've learned this before

8 times 1/2 Pretty basic

Answers

Answer:

4

Step-by-step explanation:

8 * 1/2 = (8*1)/2 = 8 / 2 = 4

It would be 4 because when you multiply 8 by 1/2 you multiply straight across so it would be 8/2 and since you can divide that the answer is 4

What is 68 million squared.

Answers

Answer:

4.624e+15

Step-by-step explanation:

I think this is the correct answer may be wrong

Answer:

4.761e+15

Step-by-step explanation:

the vertex angle of isosceles triangle is 110 degrees. what are the measures of the base angles

Answers

Answer:

35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent , then

base angles = [tex]\frac{180-110}{2}[/tex] = [tex]\frac{70}{2}[/tex] = 35°

What is the solution for the system of equations?
y = -x +4
y = x- 2

• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)

Answers

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?​

Answers

Answer:

3,700

Step-by-step explanation:

I know it's black because I did it in my head

can anyone answer this question please
6[y-2]/7-12=2[y-7]/3

Answers

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answers

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

The formula for the area of a square with equal side, s, is given as s².

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

Therefore:

x² = 36

Take the square root of both sides

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

Learn more about area of a square on:

https://brainly.com/question/16758129

Moussa is preheating his oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 15 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Temp after 15 minutes:
Temp after t minutes:

Answers

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

Percentage of words starting with T

Answers

Do what the hint says lol

evaluate each expression if r=12 s= -4 t= -6
rs divided by 16

Answers

Answer:

-3

Step-by-step explanation:

r = 12

s = -4

t = -6

Equation

rs ÷ 16

12(-4) ÷ 16

-48 ÷ 16

-3

The value of the expression rs ÷ 16 at r = 12,  s = -4, and t = -6 will be negative 3.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ rs ÷ 16

The value of the expression at r = 12,  s = -4, and t = -6 will be given as,

⇒ [12 × (-4)] ÷ 16

Simplify the expression, then we have

⇒ [12 × (-4)] ÷ 16

⇒ - 48 / 16

⇒ - 3

The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?

Answers

Answer:

  A'(-1, 2)

Step-by-step explanation:

Translation 1 right and 3 down is accomplished by the transformation ...

  (x, y) ⇒ (x +1, y -3)

Rotation 180° is accomplished by ...

  (x, y) ⇒ (-x, -y)

Then the composition of transformations gives ...

  (x, y) ⇒ (-x -1, -y+3)

The transformed coordinates of A(0, 1) are ...

  A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)

Jason likes to play video games. His parents allow him to play

Answers

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

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