Question

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

Answer 1

$\text{Hey there!}$

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

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

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

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

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

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

$\text{a =}\dfrac{95\div5}{5\div5}= 95\div5 = 19\\\\\boxed{\boxed{\bf{Answer: a = 19}}}\checkmark$

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

~$\frak{LoveYourselfFirst:)}$

Answer 2

Answer:

5a-25=70

5a=70+25

a=95/5

a=19

Step-by-step explanation:

since  a(b+c) = ab+ac