EDGE Math 8

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

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

(6, −6)

(−6, 6)

(6, 6)

no solution

infinitely many solutions

none of the choices

Answer: (6, −6)

2.	${\begin{array}{l} \frac{1}{2} x + \frac{1}{4} y = \frac{1}{2} \\ \frac{3}{5} x + \frac{1}{4} y = \frac{11}{20} \end{array}$

(0, 2)

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

(4, 0)

no solution

infinitely many solutions

none of the choices

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

3.	${\begin{array}{l} 0.3 x - 1.5 y = - 8.1 \\ 0.6 x + 1.2 y = 0.6 \end{array}$

(−27, 0)

(−2.7, 0)

(−7, 4)

no solution

infinitely many solutions

none of the choices

Answer: (−7, 4)

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