Question

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions

Answer 1

One example is the equation:

2x + 6 = 4x/2 + 12/2

To solve this, we need to transpose like terms to the same side.

2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0

Since both sides are zero, it means that the equation has infinite number of solutions

Answer 2

Answer:2x=y

Step-by-step explanation:

It has infinite solutions as

When x=1,y=2

x=2,y=4

Likely many solutions

Hope it helps....