EDGE Math 8

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

1.	${\begin{array}{l} x + y = 6 \\ x - y = 2 \end{array}$

(2, 4)

(4, 2)

(−2, −4)

no solution

infinitely many solutions

none of the choices

Answer: (4, 2)

2.	${\begin{array}{l} - x + y = 1 \\ - 2 x + y = 0 \end{array}$

(1, 2)

(1, 0)

(0, 1)

no solution

infinitely many solutions

none of the choices

Answer: (1, 2)

3.	${\begin{array}{l} x - 2 y = 4 \\ 2 x - 4 y = 8 \end{array}$

(4, 0)

(0, −2)

(8, 2)

no solution

infinitely many solutions

none of the choices

Answer: infinitely many solutions

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

(3, 1)

(1, 3)

(3, 3)

no solution

infinitely many solutions

none of the choices

Answer: (1, 3)

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