EDGE Math 8

Solve each system of linear equations using any of the methods that you learned. Choose your answer.

1.	${\begin{array}{l} x - y = 0 \\ - x - y = 0 \end{array}$

(0, 0)

(1, 1)

(1, −1)

no solution

infinitely many solutions

none of the choices

Answer: (0, 0)

2.	${\begin{array}{l} - x + y = 1 \\ - 2 x + 2 y = 2 \end{array}$

(0, 1)

(−1, 0)

(2, 3)

no solution

infinitely many solutions

none of the choices

Answer: infinitely many solutions

3.	${\begin{array}{l} - x + y = 4 \\ - x + y = 5 \end{array}$

(0, 4)

(0, 5)

(4, 0)

no solution

infinitely many solutions

none of the choices

Answer: no solution

4.	${\begin{array}{l} x + 2 y = 0 \\ - x + y = 3 \end{array}$

(0, 0)

(−2, 1)

(−4, 2)

no solution

infinitely many solutions

none of the choices

Answer: (−2, 1)

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