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Find the x solution of the following system of equations.x - 2y = 4;-3x + 5y = -7a.-5b.-6c.5d.6

Question

Find the x solution of the following system of equations.

x−2y=4 x - 2y = 4
−3x+5y=−7 -3x + 5y = -7

a. -5
b. -6
c. 5
d. 6

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Solution

To find the solution for x, we can use the method of substitution or elimination. Here, I'll use the method of elimination:

Step 1: Align the equations:

x - 2y = 4 -3x + 5y = -7

Step 2: Multiply the first equation by 3 and the second equation by 1 to make the coefficients of x the same in both equations:

3x - 6y = 12 -3x + 5y = -7

Step 3: Add the two equations together:

3x - 6y + -3x + 5y = 12 - 7 => -y = 5

Step 4: Multiply both sides by -1 to solve for y:

y = -5

Step 5: Substitute y = -5 into the first equation:

x - 2(-5) = 4 x + 10 = 4 x = 4 - 10 x = -6

So, the solution for x is -6.

This problem has been solved

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