Question

What is the value of a in the equation 4a + 3(a + 1) = 24?

2
3
7
21

Answer 1

@563blackghost @Elsa213 @ThisGirlPretty

Answer 2

Ah we want to isolate a, do you have an idea on what to do first?

Answer 3

4a + 3(a) + 3(1) = 24?

Answer 4

not sure though?

Answer 5

Yes that is right

Answer 6

4a + 3a + 3 = 24
7a - 3 + 3
7a = 24
is this right so far?

Answer 7

Almost
\(4a + 3a + 3 = 24\)
\(7a - 3 + 3\) <-When subtracting make sure to do it to both sides of the equation

So...
\(7a +3\color{red}{- 3}=24 \color{red}{- 3}\\
7a=21 \)

Answer 8

Ohhh i get it now, so 7a = 21
7a/7 and 21/7
a = 3

Answer 9

Step 1: Simplify both sides of the equation.
4a+3(a+1)=24
4a+(3)(a)+(3)(1)=24(Distribute)
4a+3a+3=24
(4a+3a)+(3)=24(Combine Like Terms)
7a+3=24
7a+3=24

Answer 10

Step 2: Subtract 3 from both sides.
7a+3−3=24−3
7a=21

Answer 11

Correct it is 3

Answer 12

Thanks so much!(:

Answer 13

Step 3: Divide both sides by 7.
7a/7 = 21/7
a=3

Answer 14

So yeah, 3.

Answer 15

If you want to check you can substitute 3 back for a in the original equation
\(\checkmark Check\\4(3) + 3((3) + 1) = 24\\
12+3(4)=24\\
12+12=24\\
\color{green}{\checkmark 24=24}\)