Rachel earns $6,000 less than twice as much as Tom. If their two incomes total $48,000, how much does each earn?

No I can not. I am completely lost with Algebra.

yes thank you

Rachel = .5x - 6,000

Tom = x
.5x - 6,000 + x = 48,000
1.5x - 6,000 = 48,000
1.5x - 6,000 + 6,000 = 48,000 + 6,000
1.5x = 54,000
Divide both by 1.5
x = 36,000
36,000/2 = 18,000
18,000 - 6,000 = 12,000

To find out how much each person earns, we can set up a system of equations based on the information given.

Let's assume that Tom's income is represented by T, and Rachel's income is represented by R.

From the information given, we know that Rachel earns $6,000 less than twice as much as Tom, which can be written as:

R = 2T - $6,000

We also know that the total income of both Tom and Rachel is $48,000, so the second equation we can write is:

T + R = $48,000

Now, we can substitute the value of R from the first equation into the second equation:

T + (2T - $6,000) = $48,000

Simplifying the equation, we have:

3T - $6,000 = $48,000

Adding $6,000 to both sides of the equation, we have:

3T = $54,000

Dividing both sides of the equation by 3, we get:

T = $18,000

Now, we can substitute the value of T into either of the initial equations to find R:

R = 2($18,000) - $6,000
R = $36,000 - $6,000
R = $30,000

So, Tom earns $18,000 and Rachel earns $30,000.

Rachel = (2 x Tom) - 6,000

Rachel + Tom = 48,000

so,

(2 x Tom) - 6,000 + Tom = 48,000

can you solve it from here?

ok,

(2 x Tom) + Tom = 48,000 + 6,000

3 Tom = 54,000

Tom = 54,000 / 3

Can you figure out the rest?