Question

Consider the system of equations.

8x+2y=8

y= −4x+4

The system has blank solutions.
SELECT CHOICE
no,
infinitely many,
one.

Answer 1

The system of equations 8x + 2y = 8 and y = −4x + 4 has infinitely many solutions because the two equations represent the same line.

Step-by-step explanation:

To solve the given system of equations:
8x + 2y = 8
y = −4x + 4

First, install the second equation into the first one:

8x + 2(−4x + 4) = 8

Simplify and solve for x:

8x - 8x + 8 = 8
8 = 8

The variables x and y disappear, and we are left with a true statement. This means that the two equations represent the same line; therefore, our system of equations has infinitely many solutions since any point on the line will satisfy both equations.

Answer 2

then both equation r same after we re arrange it so no result