Question

3. The equation 4x + 16y = 36 is a true equation for a particular

value of x. Explain why x + 4y = 9 is also true for the same value of x.

Answer 1

See below.

Explanation:

We know that the equation
`4x+16y=36` is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

`(4x+16)/(4)=(36)/(4)`

Divide:

`x+4=9`

So, we get
`x+4=9`.

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.

Therefore,
`x+4y=9` is also true for the same value of x because it is just a simplified version of
`4x+16y=36`.