Solve 5x + 2y = 10
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | y = 5 − 5x/2 |
Step-by-step solution
5 steps-
1 Given5 x + 2 y = 10
Solve for y.
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2 Subtract 5x 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 = 10 - 5 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{10 - 5 x}{2} -
4 Simplifyy = 5 - \frac{5 x}{2}
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5 Read off the slope m and the y-intercept b from y = mx + bm = - \frac{5}{2},\quad b = 5
Table of values
| x | y |
|---|---|
| −2 | 10 |
| −1 | 15/2 |
| 0 | 5 |
| 1 | 5/2 |
| 2 | 0 |
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