Answer:
[tex]x = 5[/tex], [tex]y = -2[/tex]
Step-by-step explanation:
[tex]2x + 5y = 0[/tex]
[tex]3x - 4y = 23[/tex]
By using substitution:
[tex]2x + 5y = 0[/tex]
[tex]2x = -5y[/tex]
[tex]x = -\frac{5}{2}y[/tex]
[tex]3x - 4y = 23[/tex]
[tex]3 (-\frac{5}{2} y) - 4y = 23[/tex]
[tex]-\frac{23}{2} y = 23[/tex]
[tex]y = -2[/tex]
[tex]x = -\frac{5}{2} y[/tex]
[tex]x = -\frac{5}{2} (-2)[/tex]
[tex]x = 5[/tex]
