Posted by Anonymous on Sunday, November 29, 2009 at 6:01pm.
x+3y=-10 ......(1)
7x-5y=34 ......(2)
From (1), write it as:
x=-10-3y ......(3)
Substitute x in (3) into (2)
7(-10-3y)-5y=34 .....(4)
Expand the left hand side
-70-21y-5y=34
Isolate y
-21y-5y = 34 + 70
-26y = 104
Calculate y:
y=104/-26 = -4 .....(5)
Now substitute (5) into (3) to find x.
After that, substitute the values of x and y into equations (1) and (2) to verify if the solutions are correct.
x=-3y-10
7(-3y-10)-5y=34
-21y-70-5y=34
-27y-70=34
-21y=104
y=-104/21
this is your y value now just plug this value back into the x to find your x value
hope this helped.
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