Question

1. If \( x+y=10 \), \[ y=x+10 \] \[ y=10+x \] \[ y=10-x \] \[ y=\frac{10}{x} \] \[ y=\pm \]

Answer 1

The correct representation of the given condition x+y=10 is y=10-x

Step-by-step explanation:

Given equation: x+y =10.

• Rearrange to solve for y:y = 10 - x
• This form accurately reflects the relationship between x and y based on the given condition.
• The other provided expressions (y=x+10, y=10+xy=10-x,y=frac{10}{x} \], \[ y=\pm \]) do not accurately represent the given condition and are not equivalent to y=10-x.

The correct expression representing the given condition is y=10-x. It correctly expresses the relationship between x and y based on the equation x+y=10. The other expressions provided are not equivalent and do not accurately capture the given relationship. It is essential to carefully rearrange equations to represent the given conditions accurately.

Answer 2

Subtracting x in both sides, we will get the equation:

y = 10 - x

Which is the correct expression?

An equaiton of the form:

A = B

Means that A is equal to B.

This means that if we do any operation to A, and do the same operation to B, then this equality remains (because A and B are the same thing)

So we always can do the same mathematic operation in both sides of the equation.

x + y = 10

If we subtract x in both sides of the equation, then we will get:

x + y - x = 10 - x

y = 10 - x

This is the correct equation.