Question

Justify each step used to simplify the expression 3x+2y-2x+2=3x-2x+2y+2

Answer 1

To simplify the expression 3x+2y-2x+2=3x-2x+2y+2, combine the like terms on both sides of the equation. The simplified equation is x = 3x.

Step-by-step explanation:

To simplify the expression 3x+2y-2x+2=3x-2x+2y+2, we can combine the like terms on both sides of the equation.

Starting with the left side, combine the x terms by subtracting 2x from 3x: 3x - 2x = x.

Next, combine the y terms by subtracting 2y from 2y: 2y - 2y = 0.

Finally, combine the constants by subtracting 2 from 2: 2 - 2 = 0.

So the simplified equation is x + 0 = 3x + 0, which can be further simplified to x = 3x.

Answer 2

`3x+2y-2x+2=3x-2x+2y+2\ \ \ \ \ | combine\ like\ terms\\\\ x+2y+2=x+2y+2\\\\ 0=0\\\\ There\ are\ infinitely\ many\ solutions.`