Solve the equations.
(a) 2D + 3 = 13
D = _____
(b) 12E - 3 = 0
E = _____
D = 5
E = 1/4
(a) 2D = 13 - 3 (subtract 3 from both sides) then 2D = 10 so divide both sides by 2 and you end up with D = 10/2 10 divided by 2 is 5 so D = 5
(b) 12E - 3= 0 add three to both sides and know you have 12E=3 now divide both sides by 12 and you have E=3/12 Three divided by 12 is reduced to 1/4 so E=1/4
Remember to solve for the letter you need to isolate that letter by moving all the numbers to the opposite side of the equation by doing the same to both sides to keep them equal
To solve these equations, we will follow a general method called "isolating the variable." This means we will perform operations to move all terms containing the variable to one side of the equation, leaving the variable alone on one side.
(a) 2D + 3 = 13:
Step 1: To isolate the variable D, we start by subtracting 3 from both sides of the equation.
2D + 3 - 3 = 13 - 3
Simplifying, we get:
2D = 10
Step 2: Now, we need to isolate D. To do this, we divide both sides of the equation by 2.
2D/2 = 10/2
Simplifying further, we get:
D = 5
Therefore, D = 5.
(b) 12E - 3 = 0:
Step 1: To isolate the variable E, we start by adding 3 to both sides of the equation.
12E - 3 + 3 = 0 + 3
Simplifying, we get:
12E = 3
Step 2: Now, we need to isolate E. To do this, we divide both sides of the equation by 12.
12E/12 = 3/12
Simplifying further, we get:
E = 1/4
Therefore, E = 1/4.