Question

Six more than a number Is negative nine write a algebraic equation and solve

Answer 1

-15

Step-by-step explanation

Step 1

let x represent the number

now, traslate into math terms

a)six more than a number is negative nine

`\begin{gathered} \text{Number}\rightarrow x \\ \text{six more than a nubmer}\rightarrow x+6 \\ \text{six more than a number is negative nine}\rightarrow x+6=-9 \end{gathered}`

hence, we got the equation

`x+6=-9`

Step 2

now, solve the equation

`x+6=-9`

we need isolate x without affect the expression, The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

hence, subtract 6 in both sides

`\begin{gathered} x+6=-9 \\ x+6-6=-9-6 \\ x=-15 \end{gathered}`

therefore, the number is -15

I hope this helps you