Question

Solve the system of linear equations by graphing. y-x=17 and y=4x+2

Answer 1

See in the attached file

Explanation:

We have the following system of linear equations in two variables:

$\left \{{{y-x=17} \atop {y=4x+2}} \right.$

To graph a line, we just need two points, so let's choose the x and y intercepts of each line in order to get the graph.

FOR LINE 1:

$y-x=17 \\ \\ For \ x=0: \\ \\ y=17 \\ \\ \\ For \ y=0: \\ \\ -x=17 \\ \\ x=-17 \\ \\ \\ Line \ passes \ through \ points \ (0,17) \ and \ (-17,0)$

FOR LINE 2:

$y=4x+2 \\ \\ For \ x=0: \\ \\ y=2 \\ \\ \\ For \ y=0: \\ \\ 0=4x+2 \\ \\ x=-\frac{1}{2} \\ \\ \\ Line \ passes \ through \ points \ (0,2) \ and \ (-1/2,0)$

By graphing these two lines, we get that the solution is

$(0,22)$

Learn more:

System of linear equations in three variables: https://brainly.com/question/13800286

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