The system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

which statement is true about the coordinates of the point that is the solution to the system of equations?

a. it is (−2, 2) and lies on both lines.
b. it is (−5, 3) and lies on both lines.
c. it is (−5, 3) and does not lie on either line.
d. it is (−2, 2) and does not lie on either line.

3y+x=4

2y-x=6

Solve x+3y=4 for x

Add -3y to both sides

x+3y-3y=4-3y

x=-3y+4

Substitute -3y+4 for x in -x+2y=6

-x+2y=6

-(-3y+4)+2y=6

Simplify both sides of the equation

5y-4=6

Add 4 to both sides

5y-4+4=6+4

5y=10

Divide both sides by 5

5y/5=10/5

y=2

Substitute 2 for y in x=-3y+4

x=-3y+4

x=(-3)(2)+4

x= -6+4

x= -2

Answer : x=-2 and y=2

The answer is A

 it is (-2,2) and lies on both lines

I hope that's help  !

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.