EDGE Math 8

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

1.	${\begin{array}{l} - 2 x + 3 y = 3 \\ 4 x - 2 y = 6 \end{array}$

(−3, 3)

(3, −3)

(−3, −3)

no solution

infinitely many solutions

none of the choices

Answer: none of the choices;(3, 3)

2.	${\begin{array}{l} 7 x - 6 y = 12 \\ x - 9 y = - 1 \end{array}$

(2, - \frac{1}{3})

(2, \frac{1}{3})

(- 2, - \frac{1}{3})

no solution

infinitely many solutions

none of the choices

Answer: $(2, \frac{1}{3})$

3.	${\begin{array}{l} 4 x + 6 y = 6 \\ 9 y - 2 x = 5 \end{array}$

(\frac{1}{2}, \frac{2}{3})

(\frac{5}{2}, - \frac{2}{3})

(3, −1)

no solution

infinitely many solutions

none of the choices

Answer: $(\frac{1}{2}, \frac{2}{3})$

4.	${\begin{array}{l} 3 x = 2 y + 19 \\ 2 x + 3 y - 4 = 0 \end{array}$

(1, −8)

(2, 0)

(5, −2)

no solution

infinitely many solutions

none of the choices

Answer: (5, −2)

5.	${\begin{array}{l} \frac{1}{2} x + 10 y = 0 \\ x - 5 y - 5 = 0 \end{array}$

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

(0, 0)

(0, −1)

no solution

infinitely many solutions

none of the choices

Answer: none of the choices; $(4, - \frac{1}{5})$

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