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Solve the following system of equations:

Solve the following system of equations:-example-1
User Dimfalk
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Answer:

The correct answer is option B: (-1, -1).

Explanation:

The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.

Upon addition, we get:

9y = -9

If we solve the equation by dividing both sides by 9, we get:

y = -1

To find the x value, we can substitute this value back into either of our original equations.

6x + 4y = -10

6x - 4 = -10

To solve for x, we should isolate the variable, or get it alone on one side of the equation.

6x = -6

x = -1

Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.

User Chris KL
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