Answer:
[tex]x = - 6 \: \: y = \frac{26}{7} [/tex]
Step-by-step explanation:
We want to solve the system
8x+14y=4
-6x-7y=10
We multiply the first equation by 6 and the second equation by 8 to get:
48x+84y=24
-48x-56y=80
Add both equation to get:
28y=104
[tex]y = \frac{104}{28} = \frac{26}{7} [/tex]
We substitute this value into 8x+14y=4
[tex]8x + 14 \times \frac{26}{7} = 4[/tex]
[tex]8x + 52 = 4[/tex]
[tex]8x = 4 - 52[/tex]
[tex]8x = - 48[/tex]
[tex]x = \frac{ - 48}{8} = - 6[/tex]
