Question

What type of solution does the equation 4x + 2x + 2 = 3x - 7 have?

a) No solution
b) A unique solution
c) Infinitely many solutions
d) A complex solution

Answer 1

The equation has a unique solution, which is x = -3.

Step-by-step explanation:

This equation is a linear equation. To solve it, we need to simplify it by combining like terms. The equation is:

4x + 2x + 2 = 3x - 7

Combining like terms, we get:

6x + 2 = 3x - 7

Next, we isolate the variable by moving all the terms with x to one side and the constant terms to the other side:

6x - 3x = -7 - 2

3x = -9

Lastly, we solve for x by dividing both sides of the equation by 3:

x = -3

Therefore, the equation has a unique solution, which is x = -3. So the answer is b) A unique solution.