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The value of x is 6.
What is system of linear equations?
A collection of one or more linear equations involving the same variables is known as a system of linear equations in mathematics. For instance, the system of three equations 3x + 2y - z = 1, 2x - 2y + 4z = -2, -x + y - z = 0 has the three variables x, y, and z.
A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
Graphically, a system of linear equations that has no solution indicates two parallel lines-that is, two lines that have the same slope but different y-intercepts.
To have the same slope, the x-and y-coefficient must be the same.
To get from -2/3 to -8 you multiply by 12, so multiply -1/2x by 12 as well to yield 6x.
Because the other x-coefficient is a, it must be that a = 6 and (D) is correct.
Note that, even though it is more work, you could also write each equation in slope-intercept form and set the slopes equal to each other to solve for a.
Hence, the value of x is 6.
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