Question

Which variable has a set of zero pairs as a coefficients? (x or y)2x + 3y=20-2x + y=4

Answer 1

The variable that has a set of zero pairs as a coefficients is;

`x`

Step-by-step explanation:

We want to find the variable that has a set of zero pairs as a coefficients.

Zero pair is a pair of number that sum up to give zero.

Given the system of equation;

`\begin{gathered} 2x+3y=20 \\ -2x+y=4 \end{gathered}`

The pair of coefficient of x is;

`\begin{gathered} 2\text{ and -2} \\ 2+-2=2-2=0 \end{gathered}`

The pair of coefficient of y is;

`\begin{gathered} 3\text{ and 1} \\ 3+1=4 \end{gathered}`

So, since the coefficient of x sum up to give zero.

The variable that has a set of zero pairs as a coefficients is;

`x`