How many solutions can be found for the linear equation?
4(x + 5) - 5 = 8x+18 / 2
Responses
A no solutions
B one solutions
C two solutions
D infinitely many solutions
To determine the number of solutions for the linear equation, we need to simplify and solve for x.
First, simplify the equation:
4(x + 5) - 5 = (8x + 18) / 2
Multiply both sides of the equation by 2 to eliminate the fraction:
2 * [4(x + 5) - 5] = 2 * [(8x + 18) / 2]
8(x + 5) - 10 = 8x + 18
Expand and simplify:
8x + 40 - 10 = 8x + 18
8x + 30 = 8x + 18
Since the variable x appears on both sides of the equation, we will attempt to isolate it on one side. However, after subtracting 8x from both sides, we obtain:
30 = 18
This equation is false, meaning there are no solutions for x that satisfy the given equation.
Therefore, the number of solutions is A) no solutions.
ARE YOU SURE?
Apologies, I made a mistake in my previous response. Let's re-evaluate the equation:
8(x + 5) - 10 = 8x + 18
Expand and simplify:
8x + 40 - 10 = 8x + 18
8x + 30 = 8x + 18
Now, let's proceed to isolate the variable x. Subtracting 8x from both sides gives us:
30 = 18
This equation is false, which means there are no solutions that satisfy the given equation.
Therefore, the number of solutions is A) no solutions.