Question

What is the solution to the equation 7(a - 10) = 13 – 2(2a + 3)?

Answer 1

Answer: Second Option

$a=7$

Step-by-step explanation:

We have the following equation:

$7(a - 10) = 13 -2(2a + 3)$

Apply distributive property

$7*a-7*10 = 13 -2*2a -2*3$

$7a-70 = 13 -4a -6$

$7a-70 =-4a +7$

Add 4a on both sides of the equation

$7a+4a-70 =-4a+4a +7$

$11a-70 =7$

Add 70 on both sides of the equation

$11a-70+70 =7+70$

$11a=77$

Divide by 11 on both sides of the equation

$\frac{11}{11}a=\frac{77}{11}$

$a=7$

Answer 2

Answer:

a =7

Step-by-step explanation:

Isolate the variable by diving each side by factors that don't contain the variable.