Question

Anybody care to help me figure this out properly, The lesson did not give me enough info

Given the system of linear equations
`\left \{ {{y=-5} \atop {y=3x-2}} \right.`
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from Part B.

Answer 1

I, personally, have two favorite ways to solve system of equations.

The first, is substitution. Substitution is where you place a known variable from one equation into the other. In this case, the known variable is y=-5. I will 'substitute' the y=-5 into the y=3x-2

y=3x-2

(-5)=3x-2

-5=3x-2

-3=3x

x=-1

Now we know the x and y value!

Answer: (-1,-5)

The second way is much quicker, but isnt always accessible, and that way is graphing. I have attached a graph