Question

Please help with this math homework question below.

Answer 1

Given:

The given equations are $-6 x+4 y=22$ and $y=11-4 x$

We need to determine the pair of numbers that is a member to the system of equations.

Pair of numbers:

The pair of numbers can be determined by solving the system of equations.

Let us use the substitution method to solve the equations.

Substituting $y=11-4 x$ in the equation $-6 x+4 y=22$, we have;

$-6 x+4 (11-4x)=22$

  $-6 x+44-16x=22$

             $44-22x=22$

                  $-22x=-22$

                        $x=1$

Thus, the value of x is 1.

Substituting x = 1 in the equation $y=11-4 x$, we get;

$y=11-4(1)$

$y=11-4$

$y=7$

Thus, the value of y is 7.

Hence, the pair of numbers that is a member of both the equations are (1,7)