How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

One solution

Step-by-step explanation:

Notice that the variable is not raised to any exponent, so the degree of the variable is 1. An equation with a variable of degree 1 will have only one solution, no solution or infinite solutions. Let's check which one is the case for our equation.

Let's fin the solution step-by-step:

Step 1. Destroy parenthesis

Step 2. Simplify the right hand side

Step 3. Subtract 0.7x from both sides of the equation

Step 4. Subtract 30 from both sides of the equation

Step 5. Divide both sides of the equation by 0.05

We can conclude that the equation only has one solution and the solution is -320.

except a rational number. : )