Given:
The system of linear equations are [tex]x-y=4[/tex] and [tex]3x-2y=-5[/tex]
We need to determine the solution to the system of equations using substitution method.
Solution:
The solution can be determined using the substitution method.
Let us substitute [tex]x=4+y[/tex] in the equation [tex]3x-2y=-5[/tex]
Thus, we have;
[tex]3(4+y)-2y=-5[/tex]
[tex]12+3y-2y=-5[/tex]
[tex]12+y=-5[/tex]
[tex]y=-17[/tex]
Thus, the value of y is -17.
Substituting [tex]y=-17[/tex] in the equation [tex]x-y=4[/tex], we get;
[tex]x+17=4[/tex]
[tex]x=-13[/tex]
Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)
