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13 votes
13 votes
Solve the system of linear equations by graphing.
4x - 4y = 20
y = - 5

User Javed Khatri
by
2.6k points

1 Answer

15 votes
15 votes

First, write both equations in slope-intercept form:


\begin{gathered} 4x-4y=20 \\ \Rightarrow-4y=20-4x \\ \Rightarrow y=(20-4x)/(-4) \\ \Rightarrow y=-5+x \end{gathered}

The other one is already in slope-intercept form:


y=-5

Plot both equations in a coordinate plane. The intersection of those equations gives the solution (x,y):

Therefore, the solution of the system of linear equations is:


\begin{gathered} x=0 \\ y=-5 \end{gathered}

Solve the system of linear equations by graphing. 4x - 4y = 20y = - 5-example-1
User Michal Ciechan
by
3.0k points