How do you solve this system of equations: -3x - 5y = 4;- 5x - 4y = 24?

1 Answer
Apr 25, 2018

x=-8, and y=4.

Explanation:

Equation 1

-3x-5y=4

Equation 2

-5x-4y=24

I'm going to solve this by substitution.

First solve Equation 1 for x.

Equation 3

x=-(5y+4)/3

Next, substitute this expression for x into Equation 2

Equation 4

(5(5y+4))/3-4y=24

Now solve for y.

25y+20-12y=72

13y=52

y=4

Now put this value for y into Equation 3 to determine x.

x=-(5(4)+4)/3=-8