Question

Which of the following graphs best represents the solution to the pair of equations below? (4 points)

y = −x + 6
y = 2x − 3

graphs:

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.

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.

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.

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 1

its a

I got it right om my exam

Answer 2

First graph option: 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 point 3 commas 3.

Explanation:

i) y=-x+6

ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

i) y=-3+6=3

ii) y=2(3)-3=6-3=3

In graphs, this means that the lines intersect at (3, 3) ONLY

Answer: The graph where the lines intersect at (3, 3)