Question

solve the system of equations.
-4x + 6y = 38
x - 5y = -20
a (-35, -3)
b (5, 3)
c (-5, 3)
d (35, -3)

Answer 1

To solve this system of equations, we can use substitution or elimination method.

We will use the elimination method to solve the system of equations:

1. -4x + 6y = 38
2. x - 5y = -20

First, let's multiply equation 2 by 4 to make the coefficients of x in both equations equal:

4(x - 5y) = 4(-20)
4x - 20y = -80

Now:

-4x + 6y = 38
4x - 20y = -80

Adding the two equations together, we get:

-14y = -42
y = 3

Now substituting y back into equation 2:

x - 5(3) = -20
x - 15 = -20
x = -5

Therefore, the solution to the system of equations is x = -5, y = 3. Checking the points given:

a) (-35, -3)
b) (5, 3) - This is the correct solution.
c) (-5, 3) - This is the correct solution.
d) (35, -3)