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Only choices C and D are solutions

Step-by-step explanation:

6x + 3y = -15

y = -2x - 5

6x + 3y = -15

6x + 3(-2x - 5) = -15

6x - 6x - 15 = -15

0 = 0

Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15     False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1   True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13    True

Solution

Only choices C and D are solutions

step-by-step explanation:

options

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0