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J3Rog J3Rog
  • 15-02-2017
  • Mathematics
Answered

I have the equations 8x + 3y = 20.50 and 4x + 5y = 22.50

How do I solve for x and y?

Verified Answer :

Wostar12 Wostar12
  • 15-02-2017

8x + 3y = 20.50
-
4x+5y=22.50
=
4x-2y=-2, so you have to divide each number by 2, then
2x-y=-1, so

-y=-1-2x /-1, y=1+2x, then replace it with one original equation like the first one for instance:
8x+3(1+2x)=20.50, then
8x+3+6x=20.50, then
14x=20.50-3
14x=17.5
x=1.25, then solve y:\
y=1+2*(1.25)
y=1+2.5
y=3.5,
So answer is x=1.25, and y=3.5

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