What is the value of the expression 5x - 3y ?

3x - 4y= -24
3x +2y= -6

1 answer

We can use a system of equations to solve for the values of x and y, and then substitute those values into the expression 5x - 3y.

First, we can use the method of elimination to eliminate x from the two equations:

(3x - 4y) - (3x + 2y) = -24 - (-6)
-6y = -18
y = 3

Substituting y = 3 into one of the original equations to solve for x:

3x + 2(3) = -6
3x + 6 = -6
3x = -12
x = -4

Now that we have found the values of x and y, we can substitute them into the expression 5x - 3y:

5(-4) - 3(3) = -20 - 9 = -29

Therefore, the value of the expression 5x - 3y is -29.