solving by elimination example 1: step 2: look for opposite terms. step 1: write both equations in...
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Solving by Elimination Example 1:
STEP 2: Look for opposite terms.
STEP 1: Write both equations in Standard Form to line up like variables.
STEP 5: Solve for the variable.
STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.
STEP 7: Write the answer as a point.
STEP 8: Check your answer in both equations.
STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.
STEP 4: Add the two equations.
4 3 5
2 3 7
x y
x y
Solving by Elimination 2 5 3
3 10 3
x y
x y
Example 2:
STEP 2: Look for opposite terms.
STEP 1: Write both equations in Standard Form to line up like variables.
STEP 5: Solve for the variable.
STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.
STEP 7: Write the answer as a point.
STEP 8: Check your answer in both equations.
STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.
STEP 4: Add the two equations.
Practice 2: Practice 1:
2 3 11
7 9 20
x y
x y
7 2 5
7 3 4
x y
x y
Solving by Elimination 2 5 12
5 4 6
x y
y x
Example 3:
STEP 2: Look for opposite terms.
STEP 1: Write both equations in Standard Form to line up like variables.
STEP 5: Solve for the variable.
STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.
STEP 7: Write the answer as a point.
STEP 8: Check your answer in both equations.
STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.
STEP 4: Add the two equations.
Solving by Elimination 3 2 4
2 8 5
x y
y x
Example 4:
STEP 2: Look for opposite terms.
STEP 1: Write both equations in Standard Form to line up like variables.
STEP 5: Solve for the variable.
STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.
STEP 7: Write the answer as a point.
STEP 8: Check your answer in both equations.
STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.
STEP 4: Add the two equations.
Practice 3:
11 3 18
3 16 33
y x
x y
Practice 4:
6 2 1
2 3 5
x y
x y
Solving by Elimination 4 5 35
3 2 9
x y
x y
Example 5:
STEP 2: Look for opposite terms.
STEP 1: Write both equations in Standard Form to line up like variables.
STEP 5: Solve for the variable.
STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.
STEP 7: Write the answer as a point.
STEP 8: Check your answer in both equations.
STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.
STEP 4: Add the two equations.
Solving by Elimination 3 7 5
9 5 5
x y
y x
Example 6:
STEP 2: Look for opposite terms.
STEP 1: Write both equations in Standard Form to line up like variables.
STEP 5: Solve for the variable.
STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.
STEP 7: Write the answer as a point.
STEP 8: Check your answer in both equations.
STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.
STEP 4: Add the two equations.
Practice 5:
3 2 5
4 5 47
x y
x y
Practice 6:
4 5 35
3 2 9
x y
x y
Example 7:
0.2 1.5 1
4.5 1
x y
x y
Example 8:1 1
53 3
3
x y
x y
Practice 7:
1.2 2.5 1
0.3 0.7 1
x y
x y
Practice 8:
2 28
1 12
4 4
x y
x y
Example 9: (page 453: #4)
Practice 9: (page 456 #38)