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SMART Packet #20
Solving Linear Equations for y (Part II)
Student:
Teacher:
Standards
A.A.37
Determine the slope of a line, given its equation in any form
Solving Linear Equations for y (Part II)
Example 1:
Solve 6x + 2y = 12 for y.
Step 1:
6x + 2y = 12
Step 2:
Step 3:
(*NEW STEP*)
Step 4:
(*NEW STEP*)
Step 5:
(rewrite the equation)
(move “x term” to other side)
2y = 12 – 6x
(change the sign of the “x term”)
(divide ALL NUMBERS by the
number in front of y)
y = 6 – 3x
(simplify each fraction)
Example 2:
Solve 9x + 3y = 6 for y.
Step 1:
9x + 3y = 6
Step 2:
Step 3:
(*NEW STEP*)
Step 4:
(*NEW STEP*)
Step 5:
(rewrite the equation)
(move “x term” to the other side)
3y = 6 – 9x
(change the “x term” sign)
(divide ALL NUMBERS by the
number in front of y)
y = 2 – 3x
(simplify each fraction)
Practice Problems (Part I)
Solve each of the equations below for y.
1. 10x + 5y = 30
2. 21x + 7y = 42
3. 15x + 3y = 12
4. 20x + 4y = 16
5. 18x + 9y = 36
6. 25x + 5y = 10
7. 40x + 8y = 16
8. 30x + 6y = 18
9. 27x + 9y = 18
10. 22x + 11y = 11
Note: If any of the numbers are negative, the steps are the same. Just
keep track of your signs when moving the "x term" and dividing by
the number in front of y!
Example 3:
Solve 49x - 7y = -35 for y.
Step 1:
49x - 7y = -35
Step 2:
Step 3:
(*NEW STEP*)
Step 4:
(*NEW STEP*)
Step 5:
(rewrite the equation)
(move “x term” to other side)
-7y = -35 – 49x
(change the “x term” sign)
(divide ALL NUMBERS by the
number in front of y)
y = 5 + 7x
(simplify each fraction)
Practice Problems (Part II)
11. 10x - 5y = 25
12. 9x - 3y = 12
13. -6x - 2y = 10
14. 21x - 7y = - 28
15. 16x - 2y = -8
16. 4x - 4y = 8
17. -10x + 2y = 14
18. -18x + 6y = -24
19. -26x + -2y = 14
20. 35x - 5y = 20