What is the value of x in the solution to the system of equations below?
15x - 12y = 13

30x + 9y = 4

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3


Related Questions

Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands

Answers

Answer:

Tens

Step-by-step explanation:

The 5 in 51 should be above the nine

Answer:

B.

Step-by-step explanation:

2,495 ÷ 48 is 51.97

the tens is the largest place value so thats where you would start

HELP IT NOT FORM IT FOR MY LITTLE SIS IM TO LAZY PLEASE HELP!!!!
1. 1/2 x 2/3
2.1/2 x 2/3 x3/4
3. 1/5 x 1/2 x 7/8
4. 1/8 x 4/7
5. 2/3 x 1/6
6. 2/5 x 1/4
7. 7/54 x 9/49
caculate
1. [tex](2/3)x^{2}[/tex])
2. [tex]1 1/2x^{2}[/tex]

Answers

1. 2/6
2. 1/4
3. 7/80
4. 4/15
5. 2/18
6. 2/20
7. 63/2,646

A ton might weigh 2000 pounds. How many six grades might weigh 2000 pounds?

Answers

Answer:

25

Step-by-step explanation:

An average 6th grader weight 80 pounds and 2000/80 is 25

25 six graders might weigh 2000 pounds, considering the average weight of a six grader is 80 pounds.

Average is the mean value of the data. It is a measure of central tendency.

Given the following information:

A ton might weigh 2000 pounds.

We need to find the total number of six graders require to collectively weigh 2000 pounds.

Let the total number of six graders require = x

Consider the average weight of a six grader is 80 pounds.

Total weight=  average weight of a six grader x  total number of six graders x

Total weight=  80x

2000=80x

To calculate the value of x, divide 80 both the sides.

2000/80=80x/80

25=x

x=25

Thus, 25 six graders might weigh 2000 pounds.

Learn more about average, here:

https://brainly.com/question/32511583

#SPJ6

Solve.
-5 3/4 - 3 1/2

Answers

Answer:

The answer is

[tex] - 9 \frac{1}{4} [/tex]

what is the volume of the rectangular prism?

Answers

35 cm is the answer

Answer:

3[tex]\frac{3}{4}[/tex] cm³

Step-by-step explanation:

The circumference of a circle is 9.37cm.
Find the length of the diameter.
Give your answer rounded to 2 DP

Answers

Answer:

9.37 divide by two = 4.685

4.685 in 2DP = 4.68

Step-by-step explanation:

i hoped this helps.

Answer:

2.98 :)

Step-by-step explanation:

the circumference is when you do pi times diameter.

do 9.37 divided by 3.14(pi) to work out the diameter.

9.37/3.14=2.984

rounded its 2.98

i need help please right answers only

Answers

Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

Amory ate
1/4
of a box of cereal. Blaine
ate 2/9
of the same box. What fraction of
the box of cereal did they eat together?

Answers

Answer:

they ate 17/36 of the box together

Step-by-step explanation:


Kimberly and Emily went to lunch at
their favorite restaurant. Kimberly has a
$5 off coupon to use for her purchase of
$30. Emily has a 10% off coupon to use
for her purchase of $25. What is the
difference between the total amount
Kimberly and Emily will pay individually?

Answers

Kim will pay $25 because 30-5=25

Emily will pay $22.50 because 25•.90=22.5

25-22.5=2.5

the difference is $2.50

Help pls I will mark as brainlest if correct

Answers

Answer:

The slope is [tex] \frac{3}{8} [/tex].

Step-by-step explanation:

Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Just plug in.

[tex]m = \frac{ - 7 - ( - 10)}{0 - ( - 8)} = \frac{3}{8} [/tex]

1. Use the points in the diagram to name the figure.
C
D
is is 8 IA
DC

Answers

Answer:

its the last one maybe

DC

answers for both boxes please ​

Answers

Answer:

(-3, -6)

Step-by-step explanation:

y=2x

-3x-15=y

Use Substitution Method

-3x-15=2x

+3x      +3x

-15=5x

/5   /5

-3=x

y=2x

y=2(-3)

y=-6

Answer:

(-3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Solving systems using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x

-3x - 15 = y

Step 2: Solve for x

Substitute in y:                    2x = -3x - 15Isolate x terms:                   5x = -15Isolate x:                              x = -3

Step 3: Solve for y

Define equation:                     y = 2xSubstitute in x:                        y = 2(-3)Multiply:                                   y = -6

f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry

Answers

The vertex is ( 2,4)
The axis of symmetry is 2 .
Direction of parabola ( i don’t know sorry )

2. Which is the correct set up for the quadratic formula to solve the equation below: *
(2 Points)
= 2x2 + 10x + 8
8(x)
O
x =
-10 + 102 -4(2)(8)
2(2)
x =
-10 /10--4(2)(8)
2.
O x=
10 / 102 -4(2)(8)
2(2)
x =
-10 +102 +4(2)(8)
2(2)

Answers

-10 +102 +4(2)(8) vsvshbdnndbsbbhdhhd

majorly confused about this and how to solve.​

Answers

Answer:

The answer is 59.5

please help me i will brainliest i swear

Answers

Answer:

B

Step-by-step explanation:

In 3y+1, the 3 is the coefficient

Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.

please help

Answers

Answer:

x≤2 or x≥-6

Step-by-step explanation:

Isolate the variables on both equations

3x-4≤2

3x≤6

x≤2

2x+11≥-1

2x≥-12

x≥-6

what is the answer to..
Negative 10 is no less than 2 times a number plus 14​

Answers

-10 ≥ 2x + 14
-24 ≥ 2x subtract 14 from both sides
2x ≤ -24 read right to left
x ≤ -12 divide both sides by 2

i hope this helped! <3

The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?

x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles

Answers

x [tex]\geq[/tex] 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

Can somebody who knows how to do this plz help answer all the questions correctly thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

17. $30

18. $2.24

19. 5

20. $2.2815 or rounded to $2.28

I think I’m right

Answer:

17. 30

18. 14

19. 5 hours

20. 15

Step-by-step explanation:

45 marbles in 9 bags; 150 marbles in 36 bags
is this rate proportional?

Answers

Answer:

No, the rate is not proportional.

Step-by-step explanation:

If there are 45 marbles in 9 bags, we can assume that there are 5 marbles in each bag.

Going by that rate, we can do 5 * 36 = 180, NOT 150.

Thus, the rate is not proportional.

Another way to solve would be to do 45/9 and 150/36. If the rate is proportional, the answer for both should be the same.

However, 45/9=5 and 150/36=4.16666666667.

Those two answers are NOT equal.

Thus, the rate is not proportional.

find the measure of the missing angles

Answers

Answer:

b=80

c=80

Step-by-step explanation:

the angle opposite to the 100 degree angle is congruent to it

same goes for b and c

so far we have 2 angles that measure 100 degrees 100+100=200

the sum of the 4 angles is 360

360-200=160

160/2=80=b=c

they’re both 80 :)

because of where 100 is you can make a line where b and c are. a straight line is 180 so you subtract from 100 to get 80

Can someone help me with this ???

Answers

The equation is
Y=-3/1 +2
Y-Intercept at (0,2)

I need help now btw i am in middle school

Answers

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

Process of elimination shows that the most reasonable answer is A.

Work out
2/5
of 60
Pls work this out. It’s urgent!

Answers

answer is 24.

firsty remember OF= MULTIPLY

NOW we can calculate this easily

here the equation is given

2/5×60. u can solve this in given ways below….…..

1……….

u can simply divided 60 by 5. which is equal to 12. and now the equation remain 2×12 . & it's equal to 24. which is our answer.

2……….

u can write 2/5 in decimals by dividing this . so 2/5 is equal to 0.4

and now u r left with 0.4×60

so after multiplying it comes 24.0

and that is equal to 24. (because after decimal zeros has no value)

3……….

and u also can multiply 2 by 60 . it occurs 120 then devide it by 5 . the answer comes 24.

find the estimates of x^2-x-2=3

Answers

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

What is an equation that represents a non proportional relationship???
I really need help(I know nothing about proportional and non proportional equations)

Answers

When b does not equal 0 it’s a non proportional relationship
y=mx+b

GIVING BRAINLY AND THANKS find the value of x show your work

Answers

the answer is 60. x=60

Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please

Answers

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

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