Question

Solve 4(x + 1) = 4x + 10.

0

6

All real numbers

No solution

Answer 1

and why

Answer 2

First, use the distributive property on the left side.
Can you do that?

Answer 3

im lost

Answer 4

Ok. Let's work on the left side.
Since we can't add x and 1 because they are not like terms, we can simplify the left side using the distributive property.

Answer 5

okay go on

Answer 6

Here is the distributive property:

\(a(b + c) = ab + ac\)

Here are two examples:

\(2(3 + 5) = 2 \times 3 + 2 \times 5 = 6 + 10 = 16\)

\(5(x + 4) = 5 \times x + 5 \times 4 = 5x + 20\)

Answer 7

Look especially at the second example.
Now we apply that to the left side of your equation.

Answer 8

okay

Answer 9

\( 4(x + 1) = 4x + 10\)

We use the distributive proerty on the left side to get:

\(4x + 4 = 4x + 10\)

Do you follow so far?

Answer 10

like this

Answer 11

4x+4 = 4x + 10
4 =10 , which is a false inequality
is no solution

Answer 12

Correct.

The next step is to subtract 4x from both sides which gives you

\(4 = 10\)

Since this is a false statement, that means no solution.

You got it!

Answer 13

thankss

Answer 14

You're welcome.

Answer 15

can u help me on more

Answer 16

I can help you with one more.
Pls start a new post.
I'll look for it.

Answer 17

okay thanks