A home building company purchases 24 acres of land and divides it into 1/2-acre plots for sale. How many 1/2-acre plots will be for sale?

48

Step-by-step explanation:

This is a division problem.

You need to divide 24 by 1/2.

24 / 1/2 = 24/1 / 1/2 = 24/1 * 2/1 = 48/1 = 48

48

You can also do it this way.

Each acre is the same size as 2 half-acres.

1 acre = 2 half-acres

Multiply both sides of the equation above by 24.

24 * 1 acre = 24 * 2 half-acres

24 acres = 48 half acres

48

Hello!

We put y into the second equation

2x -1(3x - 26) = 19

Distribute the -1

2x - 3x + 26 = 19

Combine like terms

-x + 26 = 19

Subtract 26 from both sides

-x = -7

Since x is negative we can multiply both sides by -1 to make it positive

x = 7

Now we put this into the first equation to find y

y = 3(7) - 26

Multiply

y = 21 - 26

Subtract

y = -5

The answer is -5

Hope this helps!