solve each equation. Check your solution.
1)
7 2
-X = -
3 3
2)
2 1
7c- - = -
3 2
I mean
1)
7c-2/3=1/2
(2/3 and 1/2 is a fraction)
2)
7/3x=2/3
(7/3 and 2/3 is a fraction)
7c-(2/3)=1/2
7c = 1/2 + 2/3
7c = 3/6 + 4/6
7c = 7/6
c = (7/6) * (1/7)
c = 7/13
2)
7/3x=2/3
x = (2/3) / 7/3
x = (2/3) * (3/7)
x = ?
1.1/6
2. 2/7
Hallo, how did you solve both questions because I solved the question but I got a completely wrong answer. Do you mind showing me???
1)
c = (7/6) * (1/7)
c = 7/42 = 1/6
Thank you :D
To solve these equations, we will follow a step-by-step process.
1) Equation 1:
To solve the equation, we can simply multiply both sides of the equation by 3 to get rid of the fraction:
7 * 3 * x / 3 = 2 / 3
This simplifies to:
7x = 2
Next, we divide both sides of the equation by 7 to isolate the variable x:
7x / 7 = 2 / 7
This simplifies to:
x = 2 / 7
The solution is x = 2 / 7.
To check the solution, substitute the value of x back into the original equation:
7 * (2/7) / 3 = 2 / 3
2/3 = 2/3
Since the left side is equal to the right side, the solution is correct.
2) Equation 2:
To solve this equation, let's start by multiplying both sides by 3 and 2 to simplify the expression:
2 * 3 * (7c - 1) / 2 = 1 * 3 / 2
This simplifies to:
3(7c - 1) = 3/2
Next, distribute the 3 to get:
21c - 3 = 3/2
Now, let's isolate the variable by adding 3 to both sides of the equation:
21c - 3 + 3 = 3/2 + 3
21c = 3/2 + 6/2
21c = 9/2
Next, divide both sides by 21 to solve for c:
(21c) / 21 = (9/2) / 21
c = 9/2 / 21
c = (9/2) * (1/21)
c = 9/42
c = 3/14
The solution is c = 3/14.
To check the solution, substitute the value of c back into the original equation:
2/3 * (7 * (3/14) - 1) = 1/2
2/3 * (21/14 - 14/14) = 1/2
2/3 * (7/14) = 1/2
1/3 = 1/2
The left side does not equal to the right side, so the solution is incorrect. Please double-check your calculations.