5. Literal Equations and Formulas
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Isolate y on the left-hand side of the equation and substitute the values for x.
Equation: y=4x+7/3
| x | y |
|---|---|
| 4 | 23/3 |
| 5 | 27/3 |
| 6 | 31/3 |
Let's begin by solving the equation for y.
LHS+7=RHS+7
Add terms
.LHS /3.=.RHS /3.
a/b=.a /3./.b /3.
Rearrange equation
To find the value of y for each of the x-values, we substitute them into the equation and evaluate.
| x | 4x+7/3 | y |
|---|---|---|
| 4 | 4( 4)+7/3 | 23/3 |
| 5 | 4( 5)+7/3 | 27/3 |
| 6 | 4( 6)+7/3 | 31/3 |