1) solve by using the inverse operation. Show all steps for kidding does the variable by itself.
2) Then check your answer by plugging it back into the original equation. Show all steps of the calculations.
5x+7=3
To solve the equation 5x + 7 = 3 using the inverse operation, we first need to isolate the variable x.
Step 1: Start by subtracting 7 from both sides of the equation:
5x + 7 - 7 = 3 - 7
5x = -4
Step 2: Divide both sides of the equation by 5 to get x by itself:
5x/5 = -4/5
x = -4/5
To check our answer, we substitute x = -4/5 back into the original equation:
Original equation: 5x + 7 = 3
5(-4/5) + 7 = 3
-4 + 7 = 3
3 = 3
The equation is true when x = -4/5.
Do the same but the equation is
Y/2 + 22 = 28
To solve the equation y/2 + 22 = 28 using the inverse operation, we first need to isolate the variable y.
Step 1: Start by subtracting 22 from both sides of the equation:
y/2 + 22 - 22 = 28 - 22
y/2 = 6
Step 2: Multiply both sides of the equation by 2 to get y by itself:
2 * (y/2) = 6 * 2
y = 12
To check our answer, we substitute y = 12 back into the original equation:
Original equation: y/2 + 22 = 28
12/2 + 22 = 28
6 + 22 = 28
28 = 28
The equation is true when y = 12.
Do the same But The equation is
2/3n - 6= -8
To solve the equation (2/3)n - 6 = -8 using the inverse operation, we first need to isolate the variable n.
Step 1: Start by adding 6 to both sides of the equation:
(2/3)n - 6 + 6 = -8 + 6
(2/3)n = -2
Step 2: Multiply both sides of the equation by the reciprocal of (2/3), which is 3/2:
(2/3)(3/2)n = -2 * (3/2)
n = -6/2
Simplifying the right side:
n = -3
To check our answer, we substitute n = -3 back into the original equation:
Original equation: (2/3)n - 6 = -8
(2/3)(-3) - 6 = -8
(-6/3) - 6 = -8
-2 - 6 = -8
-8 = -8
The equation is true when n = -3.
To solve the equation 5x + 7 = 3 using the inverse operation, we want to isolate the variable x on one side of the equation. Follow these steps:
Step 1: Subtract 7 from both sides of the equation.
5x + 7 - 7 = 3 - 7
5x = -4
Step 2: Divide both sides of the equation by 5. This will cancel out the coefficient of x.
(5x)/5 = (-4)/5
x = -4/5
The solution to the equation 5x + 7 = 3 is x = -4/5.
To check our answer, let's plug x = -4/5 back into the original equation and simplify:
Original equation: 5x + 7 = 3
Replace x with -4/5: 5(-4/5) + 7 = 3
Step 1: Simplify the left side of the equation.
-4 + 7 = 3
3 = 3
The left side simplifies to 3, and the right side is also 3. Since both sides are equal, we can conclude that our solution, x = -4/5, is correct.
Therefore, we have solved the equation by using the inverse operation and verified our answer by checking it back into the original equation.