Question

Solve the following equations for the given variable.
7x + 2y = 6 for x

Answer 1

x= 7 / 2(y+3)

Explaination:

Steps for Solving Linear Equation

7x−2y=6

Add 2y to both sides.

7x=6+2y

The equation is in standard form.

7x=2y+6

Divide both sides by 7.

7

7x

=

7

2y+6

Dividing by 7 undoes the multiplication by 7.

x=

7

2y+6

Answer 2

`\sf x = (6)/(7) - (2y)/(7)`

Explanation:

In order to solve the equation 7x + 2y = 6 for x, we can use the following steps:

Subtract 2y from both sides of the equation.

7x = 6 - 2y

Divide both sides of the equation by 7

`\sf x = ((6 - 2y) )/(7)`

Simplify the expression. This gives us:

`\sf x = (6)/(7) - (2y)/(7)`

Therefore, the solution for x is:

`\sf x = (6)/(7) - (2y)/(7)`