Solve 3x + 2y = 12
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | y = 6 − 3x/2 |
Step-by-step solution
5 steps-
1 Given3 x + 2 y = 12
Solve for y.
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2 Subtract 3x from both sides
An equation stays true as long as you do the same thing to both sides, like adding the same weight to both pans of a balance. Adding or subtracting the same amount on both sides moves a term to the other side, where it appears with the opposite sign.
2 y = 12 - 3 xMove the constant terms to the right.
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3 Divide both sides by 2
Dividing both sides by 2 undoes the multiplication by 2, so the variable is left on its own. Both sides change in the same way, so the equation stays true (dividing by 0 is the one thing that is never allowed).
y = \frac{12 - 3 x}{2} -
4 Simplifyy = 6 - \frac{3 x}{2}
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5 Read off the slope m and the y-intercept b from y = mx + bm = - \frac{3}{2},\quad b = 6
Table of values
| x | y |
|---|---|
| −2 | 9 |
| −1 | 15/2 |
| 0 | 6 |
| 1 | 9/2 |
| 2 | 3 |
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