Question

10y + 7x = 29
-5y - 9x = 2
i need to find the x and y
PLS PLS PLS HELP

Answer 1

Hello!

`\large\boxed{x = -3, y = 5}`

10y + 7x = 29

-5y - 9x = 2

In this system, it would be easiest to eliminate y. Eliminate y by multiplying the bottom equation by 2:

10y + 7x = 29

2(-5y - 9x = 2)

Add the equations:

10y + 7x = 29

-10y - 18x = 4

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

0y - 11x = 33

-11x = 33

-11x/(-11) = 33/(-11)

x = -3

Plug in the value of x into an equation to solve for y:

10y + 7(-3) = 29

10y - 21 = 29

10y = 50

y = 5.