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.