System of equation by using substitution
3=y+3x
-x+3y=29

Answers

Answer 1

Answer:

x=-2

y=9

Step-by-step explanation:

3=y+3x ---- A

-x+3y=29 ----B

step 1. rearrange equation A, so you have the "y" variable on one side

3=y+3x

-3x     -3x

3-3x=y

y=3-3x ---- C

step 2. Substitute equation C into equation B in place of "y"

-x+3(3-3x)=29 ---foil

-x+9-9x=29 -- collect like terms

-10x+9=29

       -9     -9

   -10x=20

      ÷-10     ÷-10

         x=-2

Step 3. Substitute x=-2 into equation C to find y

y=3-3(-2)

y=3+6

y=9

Check you answer by subsituting x=-2 and y=9 back into equation A and B


Related Questions

A board is 80 inches long. How long is it in feet and inches? please help ;-;

Answers

Answer:

6 feet and 8 inches

Step-by-step explanation:

1 foot = 12 inches

Answer: 6ft & 8 inches

Step-by-step explanation: 12 inches = 1 feet

2 feet = 24

3 feet = 36

4 feet = 36

5 feet = 60

6 feet = 72

80 - 72 = 8

6ft & 8 inches

I am stuck on a geometry lesson. It is on the Angle Sum Theorem. It said we have an obtuse trisngle with angles 1, 2, and 3. Then they extend the line out as a dashed line top and bottom parallel to each other. It then he says we have angle 1 value would also be true on the opposite side of the triangle like as a transeversal intersected 2 parallel lines making those angles alternate interior angles. He does the sme with 2. then says 1 plus 2 plus 3 equal 180 and says it twice. What does that mean?​

Answers

The angle sum theorem states that the sum of all the interior angles of a triangle is 180 degrees. In a Euclidean space, the sum of the measure of the interior angles of a triangle sum up to 180 degrees, be it an acute, obtuse, or a right triangle which is the direct result of the angle sum theorem of the triangle

The length of a rectangular room is 20 times longer than the width . If the perimeter is 588, what are the dimensions of the room

Answers

Answer:

im a teacher sorry not giving answer only hint

explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

thank you

Katy kept a tally of the number of emails she received each day for a week.

Monday 10
Tuesday 0
Wednesday 10
Thursday 1
Friday 0
according to the table,what was the rate of changing between Wednesday and Thursday?​

Answers

Answer:

9

Step-by-step explanation:

find the sum
(2x+6)+(4x-12)
HELp

Answers

Answer:

6x - 6

Step-by-step explanation:

(2x + 6) + (4x - 12) ← remove parenthesis

= 2x + 6 + 4x - 12 ← collect like terms

= (2x + 4x) + (6 - 12)

= 6x + (- 6)

= 6x - 6

Line segment XZ is congruent to line segment XZ because of the:

Answers

Answer:

They are both the same line

Step-by-step explanation:

SOMEONE PLEASE HELP‼️‼️‼️ ILL MARK BRAINLYEST PLEASE ‼️‼️
The length of the midsegment is _____ of the length of the base of the triangle.

A. 1/3
B. 1/4
C. 1/5
D. 1/2

Answers

Answer: 1/2

Step-by-step explanation:

No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!

Maybe 1/3 because a triangle has 3 sides?

The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?

Answers

Answer:

7 and 1 / 2

Step-by-step explanation:

xy = 9

( 1 / x ) = 4 ( 1 / y )

y = 4x

x ( 4x ) = 9

4x^2 = 9

x = 3 / 2

( 3 / 2 ) y = 9

y = 6

6 + ( 3 / 2 ) = 7 and 1 / 2

The two numbers are 3/2 and 6.

What are reciprocal numbers?

The reciprocal of a number is this fraction flipped upside down.

Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.

Let the numbers be a and b.

ab = 9.......(i)

1/a = 4/b

a = 4b..........(ii)

Using (i) in (ii)

4b×b = 9

b² = 9/4

b = 3/2

a×3/2 = 9

a = 6

Hence, The two numbers are 3/2 and 6.

For more references on reciprocal numbers, click;

https://brainly.com/question/15590281

#SPJ5

Find the values of x and y, and z

Answers

Answer:

z = 15

y = 8

x = 7

Step-by-step explanation:

All of the angles added together equal 180.

4z + 4z + 4z = 180

z = 15

3y - 1 = 23 ( all sides equal each other because all angles equal each other )

y = 8

2x + 9 = 23 ( similar to how I found y )

x = 7

I hope this helps!!

a woman is 16 weeks pregnant with her first baby. she asks how long it will be before she feels the baby move

Answers

Answer:It will take about 1 month or 2 months for the baby to start movingStep-by-step explanation:

It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months

Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.

Answers

The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.

a. To determine the distance of sailboat A from the stating point.

Applying the cosine rule to the path traveled by sailboat A, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)

   = 25 + 64 -80 * -0.8746

[tex]c^{2}[/tex] = 89 + 70

[tex]c^{2}[/tex] = 159

c = [tex]\sqrt{159}[/tex]

  = 12.6095

Thus, the distance of sailboat A from starting point is 12.61 miles.

b. To determine the distance of sailboat B from the stating point.

Applying the cosine rule to the path traveled by sailboat B, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)

   = 64 + 25 -80 * -0.6293

[tex]c^{2}[/tex] = 89 + 50.344

   = 139.344

c = [tex]\sqrt{139.344}[/tex]

  = 11.8044

c = 11.80 miles

Thus, the distance of sailboat B from starting point is 11.80 miles.

Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.

A sketch is attached to this answer for better reasoning.

Visit: https://brainly.com/question/22699651

8) What are the measures of angles x, y, and z?

Answers

Step-by-step explanation:

y=55°(corresponding angles are equal)

x=55°(alternate angles are equal).

z+55°=180°

=180-55=z

z=125°

Answer:

x = y = z = 55°

Step-by-step explanation:

x = 55° (vertical angles)

y = 55° (corresponding angles)

z = 55° (corresponding with x -> z = x)

What expression is equivalent to tje alegbraic expression

2n-n

Possible Answers


n+2
2n+2

n
3n

Answers

Answer:

n

Step-by-step explanation:

2n - n ← factor out n from each term

= n(2 - 1)

= n × 1

= n

Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?

Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 mL water

Answers

Answer:

7.5 g salt

10g yeast

50 ML oil

450 ML water

Step-by-step explanation:

You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)

TJ wants to sell his antique 1966 Mustang. He begins to set his price by looking at ads and finds these prices: $12,000, $9,500, $7,500, $14,000, and $12,000. What is the mean, median, mode, and range price?

Answers

Answer:

Range: 6,500

The difference between the largest and the smallest number.

Mode: 12,000

The number that appears most.

Mean: 11,000

Because its the average of all numbers

Median: 9,500

The middle number

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

Answers

Answer:

9 mm

Step-by-step explanation:

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

----

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

We use the inverse formula

base = 2A : height

2 * 27 : 6 = 9

------------------------

check

6 * 9 : 2 = 27

the answer is good

Complete the blanks in the materials list to find the total cost of the plumbing fixtures. The quantity of needed items is listed you have to figure the total cost of the materials for the job.

Answers

Answer:

$3,466.12 Hope this helped.

Kitchen sink total: $285.52
Bathtub total: $875.90
Sump pump total: $205.31
Water pump total: $375.10
Water heater total: $464.00
Water softener total: $429.99
Lavatory total: $694.02
Toilet total: $259.77
Laundry tubs total: $137.43
Total without tax: 3727.04
Tax: 260.89

Total with tax: 3987.93

Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need

Answers

Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

Darryl can travel to the store on his skateboard three times faster than he can return carrying his package and skateboard. If the total trip takes 30 minutes, how many minutes does it take him to return from the store?

Answers

48Step-by-step explanation:

40 = 48 quarts

what is point W( 7, -4) reflected over the x-axis

Answers

Answer:

(7, 4)

Step-by-step explanation:

In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same:  7.  But the -4 becomes +4 through this reflection.

Reflected point is (7, 4)

Twenty-nine lots of p=

Answers

Answer:

29p

Step-by-step explanation:

pretty simple

Answer:

29p

Step-by-step explanation:

you

take

p

multiply

by

29

and

the

answer

is

29p

What is the area of this tile?

Answers

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Pls help i will give brainliest!

Answers

The answer is c

Explanation: I just know so…

Write an equation in slope-intercept form of the line please help me

Answers

Answer:

The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.

it is equal to (y - 4) = m(x - 0)

and now we look for the slope

m = y2 - y1/ x2 - x1

which can be directly substituted according to every line connecting each x value to a certain y value.

help needed please im stuck

Answers

Answer:

  a) b^3

  b) x^3

Step-by-step explanation:

It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.

a)

  [tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]

__

b)

  [tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]



A temperature of -3°F is how many degrees below the freezing
temperature of water?

Answers

Answer:

Step-by-step explanation:

6

Can someone help me Expand 3(z+2)

Answers

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

If Marlene can type 157 words per minute how many words can she type in 25 minute

Answers

Answer:

3925

Step-by-step explanation:

25x

25*157

Is y= - 4x + 1 proportional

Answers

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Hope this helps :)

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Step-by-step explanation:

Yw

The triangle below models a section of the supports you might see in a construction crane.

a. What is the sum of the angle measures of the triangle? Show your work.

1. Alt interior = 60

2. angle A + angle B + 2 =180

3. x supplemental

4. Alt interior = 90

5. Supplimentary = 90

(A is already solved)

b. Check your answer to problem 3a. Show your work.

(Please answer b)​

Answers

Exactly what was your answer for a

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