solve-
7 x + 2
-- ----
24 = 12
x over 3 = 224 over 720
GOAL: Isolate the variable (x)
Multiply both sides by 24.
7x + 2 = 288
Subtract 2 fromboth sides.
7x = 286
Divide both sides by 7.
x = 40.9
The next question is the same, but instead you can just cross multiply.
x/3 = 224/720
720x = (224)(3)
720x = 672
x = 0.93
I read that as
7/24 = (x+2)/12
if so, then
24x + 48 = 84
24x = 36
x = 36/24 = 3/2
To solve the first equation:
Step 1: Cross-multiply to get rid of the fractions. Multiply 7 by 12 and multiply 24 by (x + 2):
7 * (x + 2) = 24 * 12
Step 2: Simplify and solve for x. Distribute the 7 to the terms inside the parentheses:
7x + 14 = 288
Step 3: Subtract 14 from both sides of the equation:
7x = 288 - 14
7x = 274
Step 4: Divide both sides by 7 to isolate x:
x = 274 / 7
x ≈ 39.14 (rounded to two decimal places)
Therefore, the solution to the first equation is x ≈ 39.14.
To solve the second equation:
Step 1: Cross-multiply to get rid of the fractions. Multiply x by 720 and multiply 3 by 224:
x * 720 = 3 * 224
Step 2: Simplify and solve for x:
720x = 672
Step 3: Divide both sides by 720 to isolate x:
x = 672 / 720
x = 0.9333 (rounded to four decimal places)
Therefore, the solution to the second equation is x = 0.9333.