Answer:
The answer is C
Step-by-step explanation:
Use the method of elimination
First rearrange the first equation to look like the second
[tex]2x + 3y = 17 \\ 4x + 6y = 34 \\ - 4x - 6y = - 34[/tex]
Next add the two equations together eliminating the y term.
[tex] - 4x - 6y = - 34 \\ 3x + 6y = 30 \\ \\ - x = - 4 \\ x = 4[/tex]
There's only one answer with x = 4 so you're done. To go further, substitute x = 4 into the second equation and solve for y
[tex]3x + 6y = 30 \\ 3 \times 4 + 6y = 30 \\ 12 + 6y = 30 \\ 6y = 18 \\ y = 3[/tex]