Question

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Solve the system of two linear equations. -3x - 4y = -23 3x - 5y =5 (1 point) O (5,-2) O (-5,-2) O (-5, 2) O (5,2)

Answer 1

To solve the system of linear equations, we can use the method of elimination. We will eliminate the variable "x" by adding the two equations together.

If we add the equations:
(-3x - 4y) + (3x - 5y) = (-23) + 5
This simplifies to:
(-3x + 3x) + (-4y - 5y) = -18

The x terms cancel each other out and the y terms combine:
-9y = -18

Now, we can solve for y by dividing both sides of the equation by -9:
y = (-18) / (-9)
y = 2

Substitute the value of y back into either of the original equations. Let's use the first equation:
-3x - 4(2) = -23
-3x - 8 = -23

Move the constant term to the right side:
-3x = -23 + 8
-3x = -15

Finally, solve for x by dividing both sides of the equation by -3:
x = (-15) / (-3)
x = 5

Therefore, the solution to the system of linear equations is (5, 2).
Answer: O (5, 2)