How do I solve the following system of equations?

-5x-3y=7

-3x-4y=2

(-2, 1)

Step-by-step explanation:

Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

-3 (-5x - 3y = 7) or 15x + 9y = - 21

5 (-3x - 4y = 2) or - 15x - 20y = 10

-11y = - 11

y = 1

Solve for x: - 5x - 3 = 7

Add 3 to both sides: - 5x - 3 + 3 = 7 + 3 or - 5x = 10

Solve for x: x = - 2

(-2, 1)