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)