Question

FAN AND MEDAL
What is the solution of the system defined by y = -x + 5 and 5x + 2y = 14?

Answer 1

4/3, 11/3

Answer 2

y=−x+5;5x+2y=14
y=−x+5for y:
−x+5 5x+2y=14:
5x+2y=14
5x+2(−x+5)=14
3x+10=14
3x+10+−10=14+−10
3x=4
3x/3
=
4/3
x=4/3
Substitute
4/33
for x=−x+5:
y=−x+5
y=−4/3+5
y=11/3