Answer
The solution is $(1,4)$.
Work Step by Step
You are given the equations $14x-2y=6$ and $6y-9x=15$.
Wrtite each equation in $y=mx+b$ form:
$14x-2y=6$
$-2y=-14x+6$
$y=7x-3$
The slope is $7$ and the y-intercept is $-3$. Graph the equation, this is the red line.
$6y-9x=15$
$6y=9x+15$
$y=\dfrac{3}{2}x+{\dfrac{5}{2}}$
The slope is $\dfrac{3}{2}$ and the y-intercept is $\frac{5}{2}$.Graph the equation,this is the blue line.
The lines intersect at $(1,4)$ which is the solution.
