How do u solve this system equation?

I think that

y = - 7

x = 2

y = 2x - 11

4x + 3y = - 13

To solve this system using substitution, substitute (2x - 11) into the second equation for y and solve algebraically for x.

4x + 3y = - 13 (given)

4x + 3 (2x - 11) = - 13 (substitute)

4x + 6x - 33 = - 13 (distribute)

10x - 33 = - 13 (collect like terms)

10x = 20 (add 33 to both sides)

x = 2 (divide both sides by 10)

Substitute 2 for x into either of the original equations.

y = 2x - 11 (given)

y = 2 (2) - 11 (substitute)

y = 4 - 11 (multiply)

y = - 7 (subtract)

Answer:

x = 2 and y = - 7; (2, - 7).