what is the solution to the system of equations below

Question

it gives us the equation

-7x+y=-19

2x+19 divided by y=3

and what are the steps to solving

Answer 1

I am assuming that the second equation is written like this: (2x+19)/y=3

We have 2 unknowns, so we must have 2 equations to solve for this.

Eq. I: -7x+y=-19

Eq. II: (2x+19)/y=3--->y=(2x+19)/3

Use the substitution method. Put the value we obtained for y from Eq. II into Eq. I and solve for x:

-7x+y=-19 Eq. I

-7x+(2x+19)/3=-19 substituting for y

(-21x+2x+19)/3=(-19)(3)/3 multiply -7x and -19 by 3 to get the same denominators

-19x+19=-57 simplify

-19x=-57-19 subtract 19 from both sides to isolate the x term

-19x=-76 simplify

x=-76/-19 divide both sides by -19 to isolate x

x=4 solve for x

Use this value for x in Eq. II and solve for y:

y=(2x+19)/3 Eq. II

y=(2(4)+19)/3 substitute 4 for x

y=(8+19)/3

y=27/3

y=9 solve for y

Therefore, your answers are x=4 and y=9. You can verify your answers by using these values of x & y in both equations and find that they are correct.