Answer:
x = 9 , y = 5
Step-by-step explanation:
given the system of equations
x + y = 14 → (1)
x - y = 4 → (2)
rearrange (2) by adding y to both sides
x = 4 + y
substitute x = 4 + y into (1)
4 + y + y = 14
2y + 4 = 14 ( subtract 4 from both sides )
2y = 10 ( divide both sides by 2 )
y = 5
substitute y = 5 into either of the 2 equations and solve for x
substituting into (1)
x + 5 = 14 ( subtract 5 from both sides )
x = 9
The solution is x = 9 , y = 5