Question 24437
1) Solve by elimination:
1) {{{(x/2)+2y = 9}}} Multiply this equation by 4 to get equation 1a)
2) {{{2x-y = 18}}} 
1a) {{{2x+8y = 36}}} Now subtract equation 2) from equation 1a)to eliminate x.

{{{2x+8y = 36}}}
{{{2x-y = 18}}}
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{{{9y = 18}}} Divide both sides of the equation by 9.
{{{y = 2}}} Now substitute this value of y into either of the two original equations and solve for x. Take the second equation.

{{{2x-y = 18}}}
{{{2x-2 = 18}}} Add 2 to both sides.
{{{2x = 20}}} Divide both sides by 2.
{{{x = 10}}}

The solution is: (10, 2)
Here's the graphical solution:
{{{graph(300,200,-2,12,-20,10,(-x/4)+(9/2),2x-18)}}}