13. Describe the number of solutions for the equation.
10(x-2)=10x
A.) one solution
B.) no solution
C.) infinite solutions***
14. Describe the number of solutions for the equation.
-2(y-3)=2y-6
A.)one solution
B.)no solution***
C.)infinite solutions
18. Solve b-9>20. I don't know how to solve it.
0 x = 2
x = 2/0
undefined
4 y = 12
y = 3
b - 9 > 20
add 9 to both sides
b > 29
So the first one is no solution and the second one is one solution?
yes
if you had
5 x = 0 for example, that would work for any old x and you would have infinite number of solutions. This is the opposite case.
Do you know what the answers are for numbers 1-17
To determine the number of solutions for the equation 10(x-2)=10x, we can simplify it step by step.
Step 1: Distribute the 10 to both terms inside the parentheses.
10x - 20 = 10x
Step 2: Subtract 10x from both sides to isolate the variable.
-20 = 0
Step 3: The equation simplifies to -20 = 0. This is a contradiction because -20 is not equal to 0. Therefore, there are no solutions, which corresponds to option B.) no solution.
Similarly, for the equation -2(y-3)=2y-6:
Step 1: Distribute the -2 to both terms inside the parentheses.
-2y + 6 = 2y - 6
Step 2: Add 2y to both sides to isolate the variable.
6 = 4y - 6
Step 3: Add 6 to both sides to further isolate the variable.
12 = 4y
Step 4: Divide both sides by 4 to solve for y.
3 = y
We find that the equation simplifies to 3 = y, which means there is one solution. Therefore, the correct option is A.) one solution.
To solve the inequality b-9 > 20, we can do the following:
Step 1: Add 9 to both sides to isolate the variable.
b - 9 + 9 > 20 + 9
Step 2: Simplify both sides of the inequality.
b > 29
The solution to the inequality is b > 29, meaning that any value of b that is greater than 29 will satisfy the inequality. Therefore, there are infinite solutions, which corresponds to option C.) infinite solutions.