Answer:
The missing value in the solution to
the equation will be:
Step-by-step explanation:
Given the equation
[tex]y+2\:=-3\left(x\:-\:4\right)[/tex]
As the value of y = -2 is given.
so substituting the value y = -2 in the equation to find the missing value
[tex]\left(-2\right)+2\:=-3\left(x\:-\:4\right)[/tex]
switch the sides
[tex]-3\left(x-4\right)=\left(-2\right)+2[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]-3\left(x-4\right)=-2+2[/tex]
[tex]-3\left(x-4\right)=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}[/tex]
[tex]x-4=0[/tex]
[tex]x=4[/tex]
Therefore, the missing value in the solution to
the equation will be:
