Question

Studying your firend says the absolute value equation (2x+9)+7=3 has two solutions because the constant on the right side of the equation is positive. is your firend correct? Explain

Answer 1

Absolute value equation |2x+9|+7=3

`\mleft|2x+9\mright|+7=3`
`|2x+9|=3-7`
`|2x+9|=-4`

Your friend is wrong. The equation has no solution. Absolute value equations always have positive results in the real numbers.