| Steps 1)Solve one of the equations for one
of its variables
2)Substitute
the expression from Step 1 into the other equation and
solve for the other variable.
3)Substitute
the value from Step 2 into the revised equation from Step
1 and solve
|
Equation 1 3x + 4y =
-4
Equation 2
x + 2y = 2
Solution
| Solve equation 2 for x x + 2y = 2
write
equation 2
x = -2y + 2 revised
equation 2
|
| Substitute
expression x for
equation 1 and solve for y 3x + 4y
= -4
write equation 1
3(-2y
+2) + 4y = -4
substitute-2y +2 for
x
y = 5 solve
for y
|
| Substitute value of y
into revised
equation 2 and solve for x x
=-2y + 2
write revised
equation 2
x= -2(5) =
2
substitute 5 for y
x = -8 simplify
|
| Check 3x + 4y =-
-4
3(-8)+4(5)=-4
-4 = -4
- Write
original equations.
- Substitute
for x and y.
- Solution
checks.
x +2y =2
-8 +2(-5)=2
2 = 2
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