Question

Calculate the value of x if: 4x - 2y = - 2 7x 2y = 35

Answer 1

1. x = (2y - 2)/4 or 1/2y + -1/2 (but, the general solution is x = (2y-2)/4 )

2. x = 5 - (2/7)y

Explanation:

1. To solve the equation 4x - 2y = -2 for x, we need to isolate x on one side of the equation.

Step 1: Start by adding 2y to both sides of the equation:

4x - 2y + 2y = -2 + 2y

This simplifies to:

4x = 2y - 2

Step 2: Divide both sides of the equation by 4 to isolate x:

4x/4 = (2y - 2)/4

Simplifying further:

x = (2y - 2)/4

So, the solution for x is x = (2y - 2)/4.

2. To solve the equation 7x + 2y = 35 for x, we need to isolate x on one side of the equation.

Step 1:

Start by subtracting 2y from both sides of the equation:

7x + 2y - 2y = 35 - 2y

This simplifies to:

7x = 2y + 35

Step 2: Divide both sides of the equation by 7 to isolate x:

7x/7 = (2y + 35)/7

Simplifying further:

x = 5 - (2/7)y

So, the solution for x is x = 5 - (2/7)y