Answer:
x = 8 , y = 53
Explanation:
given the system of equations
y = x + 45 → (1)
y = 5x + 13 → (2)
substitute y = 5x + 13 into (1)
5x + 13 = x + 45 ( subtract x from borh sides )
4x + 13 = 45 ( subtract 13 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
substitute x = 8 into (1) and solve for y
y = 8 + 45 = 53
the solution is x = 8 , y = 53