10.0k views
14 votes
What is the solution to the system of equations?

O (-2,-8)
O (-1,-5)
O (0, -2)
O (2,4)

Help!!

What is the solution to the system of equations? O (-2,-8) O (-1,-5) O (0, -2) O (2,4) Help-example-1
User Morry
by
4.3k points

1 Answer

6 votes
Equation A find “m” and “b”:
“B” is the y-intercept when x = 0. They give this in the table as “-2” so b = -2
Find slope (m) = (-8)-(-2)/(-2)-0 = 3
Equation A is y = 3x - 2 (y = mx + b)
Equation B find “m” and “b”:
Find m = (-9)-(-5)/(-3)-(-1) = 2
To find be, plug in m, x, and y from ANY coordinates in table b into y = mx + b:
-9 = 2(-3) + b
-9 = -6 + b
b = -3
Equation b is y = 2x -3
Use substitution and substitute all of equation “b” for “y” in equation a:
2x - 3 = 3x - 2
Algebra: x = -1
Plug back into equation a:
y = 3(-1) -2
y = -5
x = -1
(-1, -5) final answer (B)
User Frelling
by
4.8k points