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Substitution for x+2y=11 and -8x+6y=22

Substitution for x+2y=11 and -8x+6y=22-example-1
User Rogerthat
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1 Answer

2 votes
x+2y=11
can be written as
x = 11 - 2y

substitute x into the other equation
-8(11 - 2y) + 6y=22
simplify

-88 + 16y + 6y = 22
-88 + 22y = 22
+88 +88 isolate y

22y = 110
----- -----
22 22

y = 5! now add Y into the equation to find X

-8x+6(5)=22
-8x+30=22
- 30 -30
-8x = -8
---- ----
-8 -8

x = 1 (1,5) Is the solution




User Barakuda
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