find the values of a and b so the system shown has the given solution

Question

y = ax-5

y=-2x-b

the solution is ( 2,-3)

Answer 1

Plug (2, -3) into each equation to solve for the unknown variables

y = ax -5

-3 = a(2) -5

-3 = 2a -5

2 = 2a

a = 1

y = x - 5

y = 2x - b

-3 = 2(2) - b

-3 = 4 - b

-7 = -b

b = 7

y = 2x - 7