\frac{ \left| { c }_{ 2 } +7 \right| }{ \sqrt{ { 12 }^{ 2 } + { 5 }^{ 2 } } } = 2
Solve for c_2
c_{2}=-33
c_{2}=19
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\frac{1}{\sqrt{169}}|c_{2}+7|=2
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
|c_{2}+7|=26
Divide both sides by \left(\sqrt{169}\right)^{-1}.
c_{2}+7=26 c_{2}+7=-26
Use the definition of absolute value.
c_{2}=19 c_{2}=-33
Subtract 7 from both sides of the equation.
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