Is (-2, 0) the solution to the system below? y = -3x - 6 and 2x + 3y = -15

Circle your final answer. SHOW WORK as mathematical proof.

No, the answer is (-3/7, -33/7)

Step-by-step explanation:

y=-3x-6 can be rewritten as y+3x=-6

so, our two equations are:

1. y+3x=-6

2. 3y+2x=-15

we can multiply the first equation by 3.

1-1.3y+9x=-18

Now we can subtract the second equation from equation 1-1.

3y+9x=-18

-(3y+2x=-15)

7x=-3

x=-3/7

Now that we have x, let's plug it into an equation. I will plug it into the first equation.

y=-3(-3/7) - 6

y=9/7 - 6

y=-33/7

so the points are (-3/7, -33/7)

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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step-by-step explanation: