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.