Question - Solving Equations with Elimination of Variables
Solution:
To solve for x, we have these two equations from the image without the y variables:1) -2x + 4y = 152) -12x - 4y = -8Adding these two equations together will eliminate the y terms since they have opposite coefficients:-2x + 4y = 15-12x - 4y = -8-----------------14x = 7Now, we solve for x by dividing both sides of this equation by -14:-14x / -14 = 7 / -14x = -1/2Therefore, the value of x is -1/2, which corresponds to option A: -1/2.
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