Question

Solve the following linear system of equations using substitution.

y = 3x - 5
y = 2x - 6


A. (3,2)
B. (-5,-6)
C. (-1,-8)
D. (1,-2)

Answer 1

Answer:

Step-by-step explanation:

since both equations are equal to the same thing, y, they are therefore equal to each other

so:

$3x-5=2x-6\\x-5=-6\\x=-1$

substitute x, -1,  into either equation to solve for y

$y=3(-1)-5\\y=-3-5\\y=-8$

or

$y=2(-1)-6\\y=-2-6\\y=-8$

Therefore, the solution is (-1,-8)

Answer 2

Answer: C. (-1,-8)

Step-by-step explanation: