Answer:
[tex]x = 10 \\ y = 15[/tex]
Step-by-step explanation:
[tex]5x - 4y = - 10 \: \: \: \: \: \: \: ...(1) \\ y = 2x - 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(2)[/tex]
[tex]5x - 4(2x - 5) = - 10 \\ 5x - 8x + 20 = - 10 \\ - 3x = - 10 - 20 \\ - 3x = - 30 \\ 3x = 30 \\ \\ x = \frac{30}{3} \\ \\ x = 10[/tex]
put, x = 10 in equation (2)
[tex]y = 2(10) - 5 \\ y = 20 - 5 \\ y = 15[/tex]
