solve by using inverse opertations .show all steps for gettng the varbale it self then check ur answers by plugging it back into the oringal equation show all steps 5x-7=3
To solve the equation 5x - 7 = 3 using inverse operations, we need to isolate the variable x.
Step 1: Add 7 to both sides of the equation to eliminate the constant term on the left side:
5x - 7 + 7 = 3 + 7
5x = 10
Step 2: Divide both sides of the equation by 5 to isolate x:
5x/5 = 10/5
x = 2
Now, we have found the value of x to be 2.
To check the solution, we substitute x = 2 back into the original equation:
5(2) - 7 = 3
10 - 7 = 3
3 = 3
The equation holds true, and the solution x = 2 is correct.
To solve the equation 5x - 7 = 3 using inverse operations, follow these steps:
Step 1: Add 7 to both sides of the equation to isolate the variable term.
5x - 7 + 7 = 3 + 7
5x = 10
Step 2: Divide both sides of the equation by 5 to solve for x.
5x/5 = 10/5
x = 2
To check the answer by plugging it back into the original equation:
Original equation: 5x - 7 = 3
Plugging x = 2:
5(2) - 7 = 3
10 - 7 = 3
3 = 3
Since both sides of the equation are equal, the solution x = 2 is verified.
To solve the equation 5x - 7 = 3 using inverse operations, we need to isolate the variable x. Here are the steps:
Step 1: Start with the given equation: 5x - 7 = 3.
Step 2: To get rid of the constant term -7 on the left side, we can add 7 to both sides of the equation: 5x - 7 + 7 = 3 + 7.
Simplifying, we have 5x = 10.
Step 3: To isolate the variable x, we need to divide both sides of the equation by the coefficient of x, which is 5: 5x/5 = 10/5.
Simplifying further, we get x = 2.
Now let's check our answer by plugging it back into the original equation and showing all steps:
Original equation: 5x - 7 = 3.
Step 1: Substitute x = 2 into the original equation: 5(2) - 7 = 3.
Step 2: Simplify the equation: 10 - 7 = 3.
Step 3: Evaluate the equation: 3 = 3.
Since the left side equals the right side, our answer is correct.
Therefore, the solution to the equation 5x - 7 = 3 using inverse operations is x = 2, and this solution is verified by plugging it back into the original equation.
solve using inverse operations
-3/5x=2/5
A
23\frac{2}{3}
3
2
B
−23-\frac{2}{3}−
3
2
C
−625-\frac{6}{25}−
25
6
D
−15-\frac{1}{5}−
5
1
To solve the equation -3/5x = 2/5 using inverse operations, we need to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of -3/5, which is -5/3. This will cancel out the fraction on the left side:
(-5/3)(-3/5)x = (-5/3)(2/5)
1x = -10/15
Step 2: Simplify the right side of the equation:
x = -10/15
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
x = -2/3
Therefore, the solution to the equation -3/5x = 2/5 using inverse operations is x = -2/3.
Choose the best equation that fits the word problem below.
Sarah is planning to buy some books. Each book (b) costs $15. How many books can Sarah purchase if she has saved $60?
A
15b = 60
B
15 + 60 = b
C
15 + b = 60
D
60b = 15
The best equation that fits the word problem is:
C) 15 + b = 60.
This equation represents the scenario where Sarah has $15 to start with and plans to purchase a certain number of books (b) with that money. The equation states that the cost of the books plus the initial $15 equals the total amount she has saved, which is $60.
Spencer prepaid a 12-month membership to Power Score Gym. He recieved a one-time discount of $35 for prepaying. Spencer paid a total of $205.
Which equation can Spencer use to find m, the regular cost per month?
A
12(m - 35) = 205
B
35(m - 12) = 205
C
35m - 12 = 205
D
12m - 35 = 205
The correct equation that Spencer can use to find m, the regular cost per month is:
A) 12(m - 35) = 205.
This equation represents the scenario where the regular cost per month, m, is multiplied by the 12-month duration minus the one-time discount of $35. This product should equal the total amount that Spencer paid, which is $205.
solve by inverse opertaions show all steps for getting the varibale by itself the check your answer by plugging it back into the oringal equation show all steps
To solve an equation using inverse operations, we need to follow these steps:
Step 1: Start with the given equation.
Step 2: Perform inverse operations to isolate the variable on one side of the equation.
Step 3: Solve for the variable.
Step 4: Check the solution by substituting it back into the original equation.
Let's solve an example equation using inverse operations:
Example: Solve the equation 2x - 5 = 7 using inverse operations.
Step 1: Start with the given equation: 2x - 5 = 7.
Step 2: Add 5 to both sides of the equation to eliminate the constant term on the left side:
2x - 5 + 5 = 7 + 5.
2x = 12.
Step 3: Divide both sides of the equation by 2 to solve for x:
(2x)/2 = 12/2.
x = 6.
Step 4: Check the solution by substituting x = 6 back into the original equation:
2(6) - 5 = 7.
12 - 5 = 7.
7 = 7.
The equation holds true, and the solution x = 6 is verified.