Question

Which of the following graphs best represents the solution to the pair of equations below?

y = −x + 6
y = 2x − 3

Answer 1

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x axis at 6. The other line passes through the y axis at negative 3 and the x axis at 1.5. The lines intersect at the point 3 comma 3.

Answer 2

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at 6. The other line passes through the y axis at 3 and the x axis at negative 1.5. The lines intersect at 1 comma 5.

Answer 3

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at negative 3 and the x axis at negative 1.5. The lines intersect at negative 3 and 3.

Answer 4

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at 3 and the x axis at 1.5. The lines intersect at negative 1 comma 5.

Answer 5

@Mackenzie_Willa

Answer 6

@peachpi

Answer 7

to find where the graph intersect we equate the two equations
so -x+6=2x-3
-x-2x=-3-6
-3x=-9
x=3
to find y when x=3 we sub that into any 1 of the give equation to get..
y=-(3)+6
y=3