SOLUTION: solve each system of equations by graphing x+2y=4 2x-3y=1

Question 60802: solve each system of equations by graphing
x+2y=4
2x-3y=1
Answer by praseena(37) (Show Source): You can put this solution on YOUR website!

x+2y=4 ----------(1)
2x-3y=1 ---------(2)

multiply the first equation by 2 so that x coefficient of x in both equations
will be same.

2( x + 2y ) =2*4
==> 2*x + 2* 2y = 8
==> 2x + 4y = 8 ---------(3)
subtract the second equation from third equation.
==> 2x + 4y - ( 2x -3y ) = 8 - 1
==> 2x + 4y - 2x + 3y = 7
==> 2x -2x + 4y + 3y = 7
==> 7y = 7
==> y = 7/7
y = 1
----------------------------------------------

now substitute the value of y in any one of the equations.
let's take the first equation.
==> x + 2 * 1 = 4
==> x + 2 = 4
==> x = 4 -2
==> x = 2
so the solution for the given equations IS

x = 2 and y = 1

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