Question

How many solutions for x does the following equation have? (6x + 6) = 4x+4​

Answer 1

1 solution

Explanation:

Linear equations are first-degree polynomials.

Linear Equations

We can tell that this equation is linear because the highest exponent is one. This means the equation is first degree, aka linear. There are 3 possibilities for linear equations: 1 solution, 0 solutions, and infinite solutions. Zero solutions occur when no x-value makes the equation true. There are infinite solutions when any value can be plugged in and make the equation true. However, in linear equations, there is usually only one solution.

Solving for x

Now, we can solve for x through the properties of equality. First, subtract 4x from both sides.

• 2x + 6 = 4

Then, subtract 6.

• 2x = -2

Finally, divide by 2.

• x = -1

The statement, x = -1, is only true under one situation, when x is -1. This means the equation only has 1 solution.