QUESTION IMAGE
Question
complete the table of values for the equation $7x + 2y = 98$.
(simplify your answers. type an integer or a fraction.)
Step1: Solve for y when x=0
Substitute $x=0$ into $7x+2y=98$:
$$7(0)+2y=98$$
$$2y=98$$
$$y=\frac{98}{2}=49$$
Step2: Solve for x when y=0
Substitute $y=0$ into $7x+2y=98$:
$$7x+2(0)=98$$
$$7x=98$$
$$x=\frac{98}{7}=14$$
Step3: Solve for y when x=2
Substitute $x=2$ into $7x+2y=98$:
$$7(2)+2y=98$$
$$14+2y=98$$
$$2y=98-14=84$$
$$y=\frac{84}{2}=42$$
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| x | y |
|---|---|
| 14 | 0 |
| 2 | 42 |