$\frac{1}{2} x - 2 y = 5$ ;
$- \frac{1}{2} x + 3 y = 4$
If (x , y) are defined as the solution of the system of equations shown above, then what is the value of x if y= 9 is a solution. ?

x=23

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x= 30

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x =46

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x = 33

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Solution

The correct option is C x =46
Substitute the value of y = 9 in any of the equations and solve for x.
$\frac{1}{2} x - 2 (9) = 5$
$\frac{1}{2} x = 5 + 18$
x = 46

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