Answer:
x = 4/3; y = 11/3
Explanation:
y = -x + 5 and 5x + 2y = 14
Since the first equation is already solved for y, we can use the substitution method.
Substitute y of the second equation with -x + 5.
5x + 2y = 14
5x + 2(-x + 5) = 14
5x - 2x + 10 = 14
3x + 10 = 14
3x = 4
x = 4/3
Now we substitute x of the first equation with 4/3 and solve for y.
y = -x + 5
y = -4/3 + 5
y = -4/3 + 15/3
y = 11/3
Solution: x = 4/3; y = 11/3