# How do you graph the system of equations 21x + 7y = 42 and - 5x + 5y = 10?

Dec 14, 2016

Plot each equation on the same graph using arbitrary solutions (at least 2 points) for each equation.

#### Explanation:

For the equation: $\textcolor{red}{21 x + 7 y = 42}$
two possible solutions are:
color(white)("XXX"){: (color(red)underline(x),color(white)("XX"),color(red)underline(y)), (color(red)0,,color(red)6), (color(red)2,,color(red)(0)) :}

For the equation: $\textcolor{g r e e n}{- 5 x + 5 y = 10}$
two possible solutions are:
color(white)("XXX"){: (color(green)0,color(white)("XX"),color(green)2), (color(green)(-2),,color(green)0) :}

Plotting these points (and drawing a line through each equations pair of points):