Question

What is the solution to this system of equations?

Answer 1

Answer: (-3,-6)

Step 1: Rewrite equations

y=2x

y=4x+6

Step 2: Determine method of solving

You can solve equations in one of 3 ways:

1) Substitution
2) Elimination
3) Graphing

The easiest in this case is substitution

Step 3: Solve

With substitution, we will substitute the y value into the second equation. Let’s do this now and solve

y= 4x + 6

*substitute y value*

2x=4x+6

*subtract 4x in both sides*

2x=4x+6
-4x -4x
_______
-2x=6

*divide both numbers by -2*

-2x=6
/-2 /-2
______
x=-3

Now we have our x value. Let’s solve for y by substituting this into the first equation.

y=2x

y=2(-3)

y=-6

Putting these together, we see that our solution to this system of equations is (-3,-6) which is also the first solution

Hope this helps comment below for more questions and I’ll be glad to help :)

Answer 2

Answer:

x=-3, y=-6. (-3, -6).

Step-by-step explanation:

y=2x

y=4x+6

-----------

2x=4x+6

2x-4x=6

-2x=6

x=6/-2

x=-3

y=2(-3)=-6