Question

PLEASE HELP ME ASAP :)))))))))

does this have one solution, multiple, or infinite? PLEASE SHOW WORK
2x + y = 5
y = -4 -2x

Answer 1

(1) x= −1 /2 y+ 5 /2

(2) x= −1 /2 y−2

Explanation:

(1) 2x+y=5

Step 1: Add -y to both sides.

2x+y+−y=5+−y

2x=−y+5

Step 2: Divide both sides by 2.

2x /2 = (−y+5)/2

x= −1 /2 y+ 5 /2

(2) Step 1: Flip the equation.

−2x−4=y

Step 2: Add 4 to both sides.

−2x−4+4=y+4

−2x=y+4

Step 3: Divide both sides by -2.

−2x /−2 = (y+4) /−2

x= −1 /2 y−2