Hello, can someone tell me if I got the following solve and check work correct?
1. solve and check 1/2x = 3 5/6
1/2x = 3 5/6
1/2x = 23/6
3x = 23/3
x = 23/3
And to check for it
1/2x = 3 5/6
1/2x = 23/6
46x = 6
x = 6/46
x = 3/23
2. Solve and check 3x + 2 / 2 = 7
3x + 2 / 2 = 7
3x + 2 = 14
3x = 14 - 2
3x = 12
x = 4
And to check for it
3(4) + 2)/2 = (12+2)/2 = 14/2 = 7= 7
Thank you in advance.
Let's go through each problem one by one to determine if your solve and check work is correct.
1. solve and check 1/2x = 3 5/6:
To solve this equation, you want to isolate x. Here's the correct solution:
1/2x = 3 5/6
To remove the fraction on the left side, you need to multiply both sides of the equation by 2:
(2)(1/2x) = (2)(3 5/6)
x = 23/3
So, x = 23/3.
To check this solution, substitute x = 23/3 back into the original equation:
1/2x = 3 5/6
1/2(23/3) = 3 5/6
23/6 = 3 5/6
The left side is equal to the right side, so your solution is correct.
2. Solve and check 3x + 2 / 2 = 7:
To solve this equation, you need to isolate x. Here's the correct solution:
3x + 2 / 2 = 7
To remove the division by 2, you need to multiply both sides of the equation by 2:
2(3x + 2 / 2) = 2(7)
3x + 2 = 14
To isolate x, subtract 2 from both sides:
3x = 14 - 2
3x = 12
Divide both sides by 3 to solve for x:
x = 12/3
So, x = 4.
To check this solution, substitute x = 4 back into the original equation:
3(4) + 2 / 2 = 7
12 + 2 / 2 = 7
14 / 2 = 7
7 = 7
The left side is equal to the right side, so your solution is correct.
Based on the solution and the checks you provided, both of your solve and check work for these equations are correct. Well done!