Answer:
[tex]x=-5\\y=-2[/tex]
Step-by-step explanation:
[tex]3x+4y=-23\\x=3y+1[/tex]
Replace x in the equation.
[tex]3x+4y=-23\\3(3y+1)+4y=-23\\9y+3+4y=-23\\13y+3=-23\\13y=-23-3\\13y=-26\\y=-\frac{26}{13}\\ y=-2[/tex]
Now replace y in either equation.
[tex]x=3y+1\\x=3(-2)+1\\x=-6+1\\x=-5[/tex]