Question

Given the system of linear equations:

Answer 1

The equations y=−5 and y=3x−2 make up the system of linear equations

The solution to the system is (-1,-5)

The graph of the system

The system of equation

y=−5

y=3x−2

See attachment for the graph of the system

The solution to the system

This is the point where the lines of the equation intersect.

From the graph in (a), the lines intersect at point (-1,-5)

Hence, the solution to the system is (-1,-5)

How to verify the solution

In (b), we have:

(x,y) = (-1,-5)

Substitute (x,y) = (-1,-5) in the system of equations.

So, we have:

-5 =−5

-5=3(-1)−2 -> -5 = -5

The above shows that the system of equations is true, for the solution

Read more about system of equations at:

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