Question

A solution to the equation 4x+2y=20 must also be a solution to which of the following equations?1) 8x+2y=402) 2x+2y=103) 2x+y=104) 4x+4y=40

Answer 1

As given by the question,

There are given that the equation:

`4x+2y=20`

Now,

First, suppose any number, for which the given equation has satisfied.

So, the number is, x = 2 and y = 6

Then,

Put both values into the given equation

`\begin{gathered} 4x+2y=20 \\ 4(2)+2(6)=20 \\ 8+12=20 \\ 20=20 \end{gathered}`

Then,

Put the same value of x and y into the given option and check whether it is satisfied:

So,

From option 3:

`\begin{gathered} 2x+y=10 \\ 2(2)+6=10 \\ 4+6=10 \\ 10=10 \end{gathered}`

Hence, the correct option is 3.