Question

How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20

Answer 1

Answer:

2 solutions.

Step-by-step explanation:

Rearrange the second equation:

-8x - 4y = -20

-4y = 8x - 20

Divide through by -4:

y = -2x + 5

and our first equation is

y =  2x - 5

Subtracting the 2 equations

0 = -2x -2x + 5 -(-5)

0 = -4x + 10

x = 5/2

and y = 2(5/2) - 5 =  0.

2 solutions.