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  !

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3 science fiction novels and 3 mystery novels

Explanation:

10x + 2x = 36

12x = 36

x = 3

10(3) + 2(3) = 36

meaning 3 of each book

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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