Solve 2x − y = 3
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | y = 2x − 3 |
Step-by-step solution
4 steps-
1 Given2 x - y = 3
Solve for y.
-
2 Subtract 2x 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.
- y = 3 - 2 xMove the constant terms to the right.
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3 Multiply both sides by −1
Multiplying both sides by −1 flips every sign. The equation stays true, and a positive variable or leading term is easier to read and to factor.
y = 2 x - 3 -
4 Read off the slope m and the y-intercept b from y = mx + bm = 2,\quad b = -3
Table of values
| x | y |
|---|---|
| −2 | −7 |
| −1 | −5 |
| 0 | −3 |
| 1 | −1 |
| 2 | 1 |
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