For this case we have the following system of equations:
[tex]y = -4x-23\\-4x-3y = 13[/tex]
We solve by the substitution method:
We substitute the first equation in the second equation:
[tex]-4x-3 (-4x-23) = 13[/tex]
We apply distributive property considering that [tex]- * - = +:[/tex]
[tex]-4x + 12x + 69 = 13\\8x + 69 = 13[/tex]
We subtract 69 from both sides of the equation:
[tex]8x = 13-69\\8x = -56[/tex]
We divide by 8 on both sides of the equation:
[tex]x = \frac {-56} {8}\\x = -7[/tex]
We look for the value of the variable y:
[tex]y = -4 (-7) -23\\y = 28-23\\y = 5[/tex]
Thus, the solution of the system is [tex](x, y): (-7,5)[/tex]
Answer:
[tex](x, y): (-7,5)[/tex]
