Question

How do I work out 5(a-5)=70 ?

Answer 1

5a-25=70

5a=70+25

a=95/5

a=19

Explanation:

since a(b+c) = ab+ac

Answer 2

`\text{Hey there!}`

`\text{How do I work out 5(a - 5) = 70}`

`\text{First distribute this}\rightarrow\text{5 (a - 5)}`

`\text{The  distributive formula is: a(b + c) =  a(b) + a(c) = ab + ac}`

`\text{So, 5(a) + 5(-5)}\\\text{5(a) = 5a}\\\text{5(-5) = -25}\\\boxed{\text{Your new equation: 5a - 25 =70}}`

`\text{5a - 25 = 70}\\\text{Add the number 25 on your sides}\\\text{5a - 25 - 25 = 70 + 25}\\\text{Cancel out: 25 - 25 because it gives you 0}\\\text{Keep: 70 + 25 because it helps us solve for A faster.. 70 + 25 = 95}\\\boxed{\text{New equation: 5a = 95}}`

`\text{5a = 95}\\\text{Divide both of your sides by 5 on each of  your sides.}\\(5a)/(5)=(95)/(5)\\\text{Cancel out:}\frac{5\text{a}}{5}\text{ because it gives you the result of 1}\\\text{Keep:}(95)/(9)\text{because it gives you the result of a}`

`\text{a =}(95/5)/(5/5)= 95/5 = 19\\\\\boxed{\boxed{\bf{Answer: a = 19}}}\checkmark`

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

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