Question

Solve the system of equations below by graphing. Write the solution as an ordered pair. y = −5x y = x − 6

Answer 1

x=1 and y=−5

Explanation:

Problem:

Solve y=−5x;y=x−6

Steps:

I will solve your system by substitution.

y=−5x;y=x−6

Step: Solve y=−5x for y:

Step: Substitute −5x for y in y=x−6:

y=x−6

−5x=x−6

−5x+−x=x−6+−x (Add -x to both sides)

−6x=−6

−6x/−6=−6/−6 (Divide both sides by -6)

x = 1

Step: Substitute 1 for x in y=−5x:

y=−5x

y=(−5)(1)

y=−5(Simplify both sides of the equation)

Answer:

x=1 and y=−5

Thank you,

Eddie