Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in...
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Transcript of Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in...
![Page 1: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/1.jpg)
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
![Page 2: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/2.jpg)
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.
![Page 3: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/3.jpg)
Practice 2: Practice 1:
2 3 11
7 9 20
x y
x y
7 2 5
7 3 4
x y
x y
![Page 4: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/4.jpg)
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.
![Page 5: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/5.jpg)
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.
![Page 6: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/6.jpg)
Practice 3:
11 3 18
3 16 33
y x
x y
Practice 4:
6 2 1
2 3 5
x y
x y
![Page 7: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/7.jpg)
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.
![Page 8: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/8.jpg)
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.
![Page 9: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/9.jpg)
Practice 5:
3 2 5
4 5 47
x y
x y
Practice 6:
4 5 35
3 2 9
x y
x y
![Page 10: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/10.jpg)
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
![Page 11: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/11.jpg)
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
![Page 12: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/12.jpg)
Example 9: (page 453: #4)
![Page 13: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062322/5697bfbd1a28abf838ca1ef3/html5/thumbnails/13.jpg)
Practice 9: (page 456 #38)