Answer:
x = 3 , y = 7
Step-by-step explanation:
given the system of equations
5x - y = 8 → (1)
2x + y = 13 → (2)
adding (1) and (2) term by term will eliminate y
(5x + 2x ) + (- y + y ) = 8 + 13
7x + 0 = 21
7x = 21 ( divide both sides by 7 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (2)
2(3) + y = 13
6 + y = 13 ( subtract 6 from both sides )
y = 7
The solution is
x = 3 , y = 7