Solve the equation.
-5x + 2 = 67
Responses
A x = 13x = 13
B x = -13x = -13
C x =
x = 69 5
D x =
x = -69 5
E x =
x = -13
how did you get that answer
To solve the equation -5x + 2 = 67, we want to isolate the variable x on one side of the equation.
First, we can start by subtracting 2 from both sides of the equation:
-5x + 2 - 2 = 67 - 2
Simplifying, we get:
-5x = 65
Next, we want to get x by itself, so we divide both sides of the equation by -5:
-5x / -5 = 65 / -5
Simplifying, we get:
x = -13
Therefore, the solution to the equation is x = -13.
okay, what is r/5- 6 = -1
To solve the equation (r/5) - 6 = -1, we want to isolate the variable r on one side of the equation.
First, we can start by adding 6 to both sides of the equation:
(r/5) - 6 + 6 = -1 + 6
Simplifying, we get:
r/5 = 5
Next, we want to get r by itself, so we multiply both sides of the equation by 5:
(r/5) * 5 = 5 * 5
Simplifying, we get:
r = 25
Therefore, the solution to the equation is r = 25.
Jennifer's basketball team played 18 games this season, and they won twice as many games as they lost. How many games did they lose?
Responses
A 6
B 9
C 12
D 15
E 17
Let's assume that Jennifer's team lost x games. Since they won twice as many games as they lost, they won 2x games.
We know that the total number of games played is 18. So, we can set up the equation:
x + 2x = 18
Combining the x terms, we get:
3x = 18
Now, we divide both sides of the equation by 3 to solve for x:
x = 6
Therefore, Jennifer's team lost 6 games. The correct response is A) 6.
Which graph best represents the solution to
x + 1 = 1.5?
The equation x + 1 = 1.5 can be solved by subtracting 1 from both sides of the equation:
x + 1 - 1 = 1.5 - 1
This simplifies to:
x = 0.5
Therefore, the solution to the equation is x = 0.5.
To represent this solution graphically, we would plot a point on the number line at x = 0.5. Since the equation only has one solution, the graph would consist of a single point on the number line at x = 0.5.
Unfortunately, as a text-based AI, I am unable to directly provide a visual graph for you. Please refer to a graphing tool or draw a number line to represent the solution of x = 0.5.
2x + 5 = 10
What is the first operation used in solving this equation?
Responses
A additionaddition
B divisiondivision
C multiplicationmultiplication
D subtraction