Answer:
[tex]x = 8 \\ y = 9[/tex]
Step-by-step explanation:
[tex]2y = x + 10 \\ y = 2x - 7 \\ [/tex]
since they gave us a value for y in the second equation, we can input it into the first equation. so...
[tex]2(2x - 7) = x + 10 \\ 4x - 14 = x + 10 \\ 4x - x = 10 + 14 \\ 3x = 24[/tex]
[tex] \frac{3}{3} x = \frac{24}{3} \\ x = 8[/tex]
Since x is 8 we can find y by substituting 8 for x
[tex]y = 2x - 7 \\ y = 2(8) - 7 \\ y = 16 - 7 \\ y = 9[/tex]
