Question

Y+2 = -3(x – 4)

Complete the missing value in the solution to the equation.

(?, -2)

Answer 1

The missing value in the solution to

the equation will be:

• 
  `x=4`

Explanation:

Given the equation

`y+2\:=-3\left(x\:-\:4\right)`

As the value of y = -2 is given.

so substituting the value y = -2 in the equation to find the missing value

`\left(-2\right)+2\:=-3\left(x\:-\:4\right)`

switch the sides

`-3\left(x-4\right)=\left(-2\right)+2`

`\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a`

`-3\left(x-4\right)=-2+2`

`-3\left(x-4\right)=0`

`\mathrm{Divide\:both\:sides\:by\:}-3`

`(-3\left(x-4\right))/(-3)=(0)/(-3)`

`x-4=0`

`x=4`

Therefore, the missing value in the solution to

the equation will be:

• 
  `x=4`