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X-5y=16
4x-2y=-8
what is the value of x and y

1 Answer

1 vote
We can start by taking a look at the first equation. We can move -5y to the other side with 16, to get x = 5y + 16.

Multiply both each term by 4 in this equation to get this:
4x = 20y + 64

Keep this aside for now; you will need it later.

Now, look at the second equation. Move -2y to the other side of the equation so that it is with -8. The equation will now look like this:
4x = 2y - 8

Now, go back to the first equation where we just multiplied by 4; take 20y + 64 and set it equal to 2y - 8. It should look like this:
20y + 64 = 2y - 8

Simplify:
18y = -72
y = -4

Now that we found y, substitute -4 for y in one of the given equations (I chose the first one):
x = 20 + 16
x= 36

There you have it! I hope this helps!
User Zohab Ali
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