Question

Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2

Answer 1

$\huge\text{Hey there!}$

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

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

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

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

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

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

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

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

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

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

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

$\mathsf{3 + 5 = 8}$

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

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

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

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

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

~$\frak{Amphitrite1040:)}$