Solve the equation. Graph and check your solutions.
x+8=10
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Part 1
Solve the equation for x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
x= enter your response here
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation x + 8 = 10, we need to isolate x by subtracting 8 from both sides:
x + 8 - 8 = 10 - 8
x = 2
Therefore, the solution to the equation x + 8 = 10 is x = 2.
Graphically, the solution can be represented as a point on a number line at the position 2.
As for checking the solution, substituting x = 2 back into the original equation:
2 + 8 = 10
10 = 10
The equation is true, which confirms that x = 2 is the correct solution.
To solve the equation x + 8 = 10, we need to isolate x on one side of the equation.
First, subtract 8 from both sides of the equation:
x + 8 - 8 = 10 - 8
x + 0 = 2
x = 2
Therefore, the solution to the equation x + 8 = 10 is x = 2.
To graph the equation, you can represent it as a straight line by plotting two points on the graph. Since the equation is in the form y = mx + b, where m is the slope and b is the y-intercept, we can rewrite it as y = x + 8.
To plot the points, choose any two values for x and substitute them to find the corresponding y-values. For example, if we choose x = 0, y will be 8 (0 + 8 = 8). If we choose x = 2, y will be 10 (2 + 8 = 10).
Now, plot the points (0, 8) and (2, 10) on the graph. Connect these points with a straight line.
To check the solution, substitute x = 2 back into the original equation:
2 + 8 = 10
10 = 10
Since 10 equals 10, the equation is verified to be true. Therefore, x = 2 is the correct solution.
−3x=−18
Question content area bottom
Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
x= enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation -3x = -18, we need to isolate x by dividing both sides of the equation by -3:
(-3x) / -3 = (-18) / -3
x = 6
Therefore, the solution to the equation -3x = -18 is x = 6.
There is a solution to the equation. Thus, the correct choice is A. x = 6.
To solve the equation x + 8 = 10, we can start by isolating x by subtracting 8 from both sides of the equation:
x + 8 - 8 = 10 - 8
This simplifies to:
x = 2
Therefore, the solution to the equation is x = 2.
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Part 1
Solve the equation.
12=m+8
Question content area bottom
Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
m= enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation 12 = m + 8, we need to isolate m by subtracting 8 from both sides of the equation:
12 - 8 = m + 8 - 8
This simplifies to:
4 = m
Therefore, the solution to the equation is m = 4.
The correct choice is A. m = 4.
Solve the equation.
10=m+3
Question content area bottom
Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
m= enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation 10 = m + 3, we need to isolate m by subtracting 3 from both sides of the equation:
10 - 3 = m + 3 - 3
This simplifies to:
7 = m
Therefore, the solution to the equation is m = 7.
The correct choice is A. m = 7.
Solve the equation.
6x−9=24