Question

Choose the graph which matches the following system of equations.

–3x + y = 2
–2x – 2y = –5

Answer 1

check for x/y intercepts in the graphs

Answer 2

how so?

Answer 3

A graph shows two lines intersecting in the first quadrant. One line passes through points (0, –2) and ( 2, 4). The other line passes through points (2.5, 0) and (0, 2.5).

A graph shows two lines intersecting in the fourth quadrant. One line passes through points (0, –2.5) and (–2.5, 0). The other line passes through points (–1, 1) and (0, –2).

A graph shows two lines intersecting in the second quadrant. One line passes through points (0, –2) and (–2, 4). The other line passes through points (2.5, 0) and (0, 2.5).

A graph shows two lines intersecting in the first quadrant. One line passes through points (0, 2.5) and (2.5, 0). The other line passes through points (0, 2) and ( –1, –1).

Answer 4

to find the y intercept, sub in 0 for x
-3x + y = 2
-3(0) + y = 2
y = 2....the y intercept is (0,2)
to find the x intercept, sub in 0 for y
-3x + y = 2
-3x + 0 = 2
-3x = 2
x = -2/3 -- the x intercept is (-2/3,0)

now the other line...
-2x - 2y = -5
y intercept = 5/2 or 2.5.....(0,2.5)
x intercept = 5/2 or 2.5....(2.5,0)

They will cross in the 1st quadrant

Answer 5

thank you

Answer 6

no problem :)