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Kryger [21]
3 years ago
12

I need to find x and y

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

x =  - 2 \\ y =  - 4

Step-by-step explanation:

- 2x + 2y =  - 4  \:  \:  \:  \:  \:  \\ i.e. \:  \:  \:  - x + y =  - 2 \:  \:  \:  \:  \:  \:  \: ...(1)\\ \\  3x + 3y =  - 18   \\ i.e. \:  \:  \:  \:  \:  \: x + y =  - 6\:  \:  \:  \:  \:  \:  \: ...(2)

From (1) we get

x = 2 + y

Now put x = 2 + y in equation (2)

2 + y + y =  - 6 \\ 2 + 2y =  - 6 \\ 2y =  - 6 - 2 \\ 2y =  - 8 \\  \\ y =  -  \frac{8}{2}  \\  \\ y =  - 4

now put y = -4 in equation (1) we get

- x + ( - 4) =  - 2 \\  - x - 4 =  - 2 \\ x  + 4 = 2 \\ x = 2 - 4 \\ x =  - 2

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_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

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