Question

I need help with this.. help please?? :,))

Answer 1

• C: adding on the right and subtracting on the left; n = 4
• S: dividing on the left and subtracting on the right; y = 2
• J: multiplying on the left and dividing on the right; b = 512

Explanation:

You want the solutions to three equations, and the error in the work shown.

• Cullen: -6n +22 = -4n +14
• Seraphina: 8.4y -6.8 = -3.2y +16.4
• Jasper: 7/8b -32 = 3/4b +32

Cullen

The correct solution is ...

`-6n+22=-4n+14\\\\22=2n+14\qquad\text{add $6n$}\\\\8=2n\qquad\text{subtract 14}\\\\\boxed{4=n}`

Cullen's error was adding 4n to one side, and subtracting 4n from the other side of the equation. (The same operation must be done to both sides.)

Seraphina

The correct solution is ...

`8.4y -6.8 = -3.2y +16.4\\\\11.6y-6.8=16.4\qquad\text{add $3.2y$}\\\\11.6y=23.2\qquad\text{add 6.8}\\\\\boxed{y=2}`

Seraphina's error was dividing one side of the equation by 11.6 and subtracting 11.6 from the other side. (The same operation must be done to both sides.)

Jasper

The correct solution is ...

`(7)/(8)b -32 = (3)/(4)b +32\\\\(1)/(8)b-32=32\qquad\text{subtract $(3)/(4)b$}\\\\(1)/(8)b=64\qquad\text{add 32}\\\\\boxed{b=512}\qquad\text{multiply by 8}`

Jasper's error was multiplying one side of the equation by 8 and dividing the other side by 8. (The same operation must be done to both sides.)