3 years ago

Solve |x + 4| - 5 =6.

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

The answer is x =7 and x= - 15

<em>Explanation</em>

$|x + 4| - 5 = 6 \\ |x + 4| = 6 + 5 \\ |x + 4| = 11 \\ x + 4 = 11 \: \:and \: \: x + 4 = - 11 \\ x = 11 - 4 \: \: and \: \: x = - 11 - 4 \\ x = 7 \: \: and \: \: x = - 15$

You might be interested in

−p(51+z)=dz+84 solve for z

tiny-mole [99]

$\text{Solve for z:}\\\\-p(51+z)=dz+84\\\\\text{Use the distributive property}\\\\-51p-pz=dz+84\\\\\text{Add 51p to both sides}\\\\-pz=51p+dz+84\\\\\text{Subtract dz from both sides}\\\\-pz-dz=51p+84\\\\\text{Factor out z}\\\\z(-d-p)=51p+84\\\\\text{Divide both sides by (-d - p)}\\\\z=\frac{51p+84}{(-d-p)}\\\\\text{The denominator shouldn't be zero, so we have to make it positive}\\\\\boxed{z=\frac{-51p-84}{d+p}\,\,or\,\,z=-\frac{51p+84}{d+p}}$