Answer :
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
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