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question 4 -6x + 5y = 1 6x + 4y = -10 type your answer in the form (x, …

Question

question 4
-6x + 5y = 1
6x + 4y = -10
type your answer in the form (x, y)

Explanation:

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 $x$

$$-6x = 1 + 5 = 6$$
$$x = \frac{6}{-6} = -1$$

Answer:

$(-1, -1)$