EDGE Math 8

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

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

(1, 0)

(2, −1)

(−1, 2)

no solution

infinitely many solutions

none of the choices

Answer: (1, 0)

2.	${\begin{array}{l} 3 x - y = 1 \\ x + y = - 1 \end{array}$

(1, 2)

(0, −1)

(−2, 1)

no solution

infinitely many solutions

none of the choices

Answer: (0, −1)

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

(4, 0)

(0, 3)

(4, −1)

no solution

infinitely many solutions

none of the choices

Answer: none of the choices; (1, 2)

4.	${\begin{array}{l} 5 x + 2 y = 6 \\ x - 2 y = 0 \end{array}$

(1, \frac{1}{2})

(1, - \frac{1}{2})

(\frac{1}{2}, - 1)

no solution

infinitely many solutions

none of the choices

Answer: $(1, \frac{1}{2})$

5.	${\begin{array}{l} x + 4 y = - 16 \\ - x - y = 1 \end{array}$

(4, −5)

(−4, −3)

(−4, 3)

no solution

infinitely many solutions

none of the choices

Answer: (4, −5)

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