Answer to Question #128053 in Math for Sheraz

Question

Solve graphically and check your answer algebraically.
X – Y = 2
2X + Y = 2
7X – 5Y = 6

Answer 1

The system has no solution

$X=2+Y$ $2(2+Y)=2$ $7X−5Y=6$

$X=2+Y$ $Y=−1$ $7X−5Y=6$

$X=1$ $Y=-1$ $7X−5Y=6$

$X=1$ $Y=-1$ $7(1)−5(−1)=6,False$

Therefore the system has no solution.