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Question
question 4
-6x + 5y = 1
6x + 4y = -10
type your answer in the form (x, y)
Step1: Add the two equations
$$(-6x + 5y) + (6x + 4y) = 1 + (-10)$$
Simplify: $9y = -9$
Step2: Solve for $y$
$$y = \frac{-9}{9} = -1$$
Step3: Substitute $y=-1$ into first equation
$$-6x + 5(-1) = 1$$
Simplify: $-6x -5 = 1$
Step4: Solve for $x$
$$-6x = 1 + 5 = 6$$
$$x = \frac{6}{-6} = -1$$
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$(-1, -1)$