1. y = 6x
2x + 3y = -20

Step-by-step explanation:

To solve this system of equations, let's multiply the first equation by to get a term in each equation:

Now, let's add the two equations together:

Now, we can plug in this value of into either equation to solve for :

or

Therefore, the solution to this system of equations is .

x = -1

y = -6

Step-by-step explanation:

y = 6x

2x + 3y = -20

Substitute the first expression into the second one

We have

2x + 3y = -20

2x + 3(6x) = -20

2x + 18x = -20

20x = -20

Divide both sides by 20 to isolate x

20x/20 = -20/20

x = -1

Remember the first expression

y = 6x

Therefore

y = 6(-1)

y = 6 x -1

y = -6

Check

2(-1) + 3(-6) = -20

-2 + -18 = -20

-2 - 18 = -20

-20 = -20

So our answer is correct

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step-by-step explanation:

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