To solve the system, we can do it by substitution, which is following the procedure below.
0. Isolating ,x ,from the second equation.
[tex]x=-7+y[/tex]
2. Replacing the isolated expression of x in the first equation.
[tex]-4\cdot(-7+y)+3y=23[/tex][tex]28-4y+3y=23[/tex]
4. Solving for y.
[tex]4y-3y=28-23[/tex][tex]y=5[/tex]
5. Replacing the value of y in the isolated expression of x.
[tex]x=-7+5[/tex][tex]x=-2[/tex]
Answer: x = -2; y = 5.
