Question

Why is −3(1+x)=−3x+1 no solution

Answer 1

No Solutions.

Explanation:

In order to determine why this equation has no solutions, I am going to solve it first.

Given equation:

`\hookrightarrow\bigstar\quad\sf{-3(1+x)=-3x+1}`

Distribute:

`\hookrightarrow\bigstar\quad\sf{-3-3x=-3x+1}`

Simplify:

`\hookrightarrow\bigstar\quad\sf{-3x=-3x+1+3`

`\hookrightarrow\bigstar\quad\sf{-3x=-3x+4}`

Add 3x to both sides:

`\hookrightarrow\bigstar\quad\sf{-3x+3x=4}`

`\bigstar\hookrightarrow\quad\sf{0=4}`

Since we have a false statement, we know that no value of x will ever make this equation true. Therefore, this equation has no solutions.

Answer 2

Explanation:

-3(1 +x) = -3x +1

Expand the brackets:

-3x -3 = -3x +1

Add 3 to both sides:

-3x = -3x +4

Divide both sides by -3x:

1 = 4

This is not true, so there cannot be a solution