Question

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

Answer 1

Step-by-step explanation:

$y = 6x$

$2x + 3y = -20$

To solve this system of equations, let's multiply the first equation by $-3$ to get a $3y$ term in each equation:

$-3y = -18x$

Now, let's add the two equations together:

$(2x + 3y) + (-3y) = -20 + (-18x)$

$2x = -20 - 18x$

$20x = -20$

$x = -1$

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

$y = 6x$

$y = 6(-1)$

$y = -6$

or

$2x + 3y = -20$

$2(-1) + 3y = -20$

$-2 + 3y = -20$

$3y = -18$

$y = -6$

Therefore, the solution to this system of equations is $(-1, -6)$.

Answer 2

Answer:

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