SOLUTION: Solve using the substitution method x=8y-3 x=2y-9

Question 1103000: Solve using the substitution method
x=8y-3
x=2y-9
Found 2 solutions by Fombitz, rothauserc:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Substitute eq. 1 into eq. 2,

Solve for y then use either equation to solve for x.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1) x = 8y - 3
2) x = 2y - 9
:
use equation 1) and substitute for x in equation 2)
:
8y - 3 = 2y - 9
:
subtract 2y from both sides of =
:
6y - 3 = -9
:
add 3 to boh sides of =
:
6y = -6
:
divide both sides of = by 6
:
y = -1
:
we can use either equation 1 or 2 and substitute for y
:
use equation 1)
:
x = 8(-1) -3
:
x = -11
:
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x = -11 and y = -1
:
check our answer
:
equation 1
:
-11 = 8(-1) -3
:
-11 = -11
:
equation 2
:
-11 = 2(-1) -9
:
-11 = -11
:
our answers check for equations 1 and 2
:
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