Question

Express x in terms of y. Then find the value of x when y= 55x - y = 3 (x + y)X in terms of y:X=

Answer 1

Given:

5x - y = 3(x + y)

To express x in terms of y means to make x the subject of the equation.

Let's take the following steps.

Step 1:

Expand the parenthesis

5x - y = 3x + 3y

Step 2:

Subtract 3x from both sides

5x - 3x - y = 3x - 3x + 3y

2x - y = 3y

Step 3:

Add y to both sides

2x - y + y = 3y + y

2x = 4y

Step 4:

Divide both sides by 2:

`\begin{gathered} (2x)/(2)=(4y)/(2) \\ \\ x=2y \end{gathered}`

Let's find the value of x when y = 5.

Substitute y for 5 in (x = 2y).

We have:

x = 2(5)

x = 10

ANSWER:

x = 2y

x = 10