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2 votes
Can you help me find x and y

please and thank you!!!
and if you could explain that will be appreciated! :D

Can you help me find x and y please and thank you!!! and if you could explain that-example-1
User NVI
by
7.8k points

2 Answers

6 votes

Answer:


x = 10 and
y = 2

Explanation:

That appears to be a parallelogram, so we can make the assumption that one side of the shape is equal to the side opposite to it because they are parallel lines.

With that assumption, we can set-up the equations, namely


42 = 4x+y (eq. 1)


26 = 3x-2y (eq. 2)

We can solve for x and y either through substitution or elimination, and it seems like elimination could be a faster way to do it.

Multiply eq. 1 by 2 and add it to eq. 2


84 = 8x+2y\\26 = 3x-2y

->
110 = 11x


x = 10

And then we can substitute it back to any equation, and the result will be


y = 2.

User Angger
by
7.3k points
3 votes

4x + y = 42 => y = 42 - 4x

3x - 2y = 26 => 3x - 2×(42 - 4x) = 26 => 3x - 84 + 8x = 26

=> 11x - 84 = 26 => 11x = 110 => x=10

y = 42 - 4x => y = 42 -4×10 => y= 42 - 40 => y= 2

User Easywaru
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8.2k points