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krek1111 [17]
3 years ago
7

Solve the equation and check the solution.

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

\huge\text{Hey there!}

\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}

\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}

\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}

\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}

\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}

\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}

\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}

\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}

\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}

\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}

\mathsf{\dfrac{3+5}{2\ \& \ 2}}

\mathsf{3 + 5 = 8}

\mathsf{2\ \& \ 2=2}

\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}

\large\text{Simplify above and you have the \bf a value}\uparrow

\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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