Given:
The given equations are [tex]-6 x+4 y=22[/tex] and [tex]y=11-4 x[/tex]
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 [tex]y=11-4 x[/tex] in the equation [tex]-6 x+4 y=22[/tex], we have;
[tex]-6 x+4 (11-4x)=22[/tex]
[tex]-6 x+44-16x=22[/tex]
[tex]44-22x=22[/tex]
[tex]-22x=-22[/tex]
[tex]x=1[/tex]
Thus, the value of x is 1.
Substituting x = 1 in the equation [tex]y=11-4 x[/tex], we get;
[tex]y=11-4(1)[/tex]
[tex]y=11-4[/tex]
[tex]y=7[/tex]
Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)
