Question

What is the solution to this system of equations?
y = 2x
y = 4x + 6
(Answer choice above)

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

The solution for the given system is required.

The solution is $(-3,-6)$

The equations are

$y=2x$

$y=4x+6$

Substituting the $y$ value from the first equation in the second equation

$2x=4x+6\\\Rightarrow 2x-4x=6\\\Rightarrow -2x=6\\\Rightarrow x=\dfrac{6}{-2}\\\Rightarrow x=-3$

Finding $y$

$y=2x=2\times -3\\\Rightarrow y=-6$

The solution is $(-3,-6)$

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