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4 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + 2y = 12 –x = –y – 6

Mathematics

1 answer:

LekaFEV [45]4 years ago

6 0

Answer:

(8,2)

Please make sure I interpreted your system correctly below.

x+2y=12

-x=-y-6

Step-by-step explanation:

I assume the system is

x+2y=12

-x=-y-6

-----------

I'm going to multiply both sides of equation 2 by -1 giving me

x+2y=12

x=y+6

I'm now going to plug equation 2 into equation 1.

(y+6)+2y=12 I replaced x with y+6 in the first equation

y+6+2y=12

3y+6=12

3y=6

y=2

x=y+6

x=2+6

x=8

The solution is (8,2)

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4 years ago

Read 2 more answers

In the figure below, the segment is parallel to one side of the triangle. Find the value of x.

g100num [7]

Answer: x= . $18\frac{2}{3}$ .

Step-by-step explanation: We are given a segment parallel to the base.

Therefore, sides of big triangle and small triangles would be in proportion.

$\frac{One \ Side \ of\ big \ triangle }{One \ Side \ of\ small \ triangle} =\frac{Other \ Side \ of\ big \ triangle }{Other \ Side \ of\ small \ triangle}$

Setting values for the shown triangle, we get

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On cross multiplication, we get

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Subtracting 112 from both sides, we get

32x + 112-112 = 38x -112

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Subtracting 38x from both sides, we get

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<h3>Therefore, x= . $18\frac{2}{3}$ .</h3>

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3 years ago

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