Y = -2x - 9
6x - 5y = -19

Hey there!

y = -2x - 9

6x - 5y = -19

We're going to label the first equation as "1" and the second equation as "2." Now, in order to find the values of "x" & "y," we need to even out the equations by placing their "x" and "y" markers on the same side of the equal sign.

Let's start off by adding 2x to both sides of equation 1.

1) y + 2x = -2x - 9 + 2x

Simplify.

Equation 1 is now: 2x + y = -9

Now, we need to multiply equation 1 equations by "3" in order to create "6x" in both equations. This helps us find the value of "y" because it cancels out the "x" in both equations.

1) (2x + y = -9) × 3

Simplify.

1) 6x + 3y = -27

2) 6x - 5y = -19

Now that our equations are lined up, we can subtract equation 2 from equation 1.

Let's put this all together now.

8y = -8

Divide both sides by 8!

8y ÷ 8 = -8 ÷ 8

Simplify.

Now that we have the value of y, we can easily plug it into one of our equations to get our "x" value.

Equation 1: y = -2x - 9

Plug in "-1" for "y."

-1 = -2x - 9

Add 9 to both sides

-1 + 9 = -2x - 9 + 9

Simplify.

8 = -2x

Divide both sides by -2.

8 ÷ -2 = -2x ÷ -2

Simplify.

Therefore, x = -4 & y = -1

Hope this helped! :)

x = - 4

y = - 1

Step-by-step explanation:

y = -2x - 9

2x + y = -9 (× 3)

6x - 5y = -19

Elimination

6x + 3y = - 27

6x - 5y = - 19

_

Solution for x :

Substitution

6x - 5y = -19

6x - 5(-1) = -19

6x + 5 = - 19

6x = - 19 - 5

6x = - 24

x = -24/6

6x - 5y = - 19

6(-4) - 5(-1) = - 19

-24 + 5 = - 19

-19 = - 19

(RIGHT) ✅

#LearnWithEXO

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

tangent

step-by-step explanation: