First, we need to find the equation for the two equations.
The equation graphed has a y-intercept of 3 and a slope of
therefore, the equation of the line is
For the second equation, we know what it has a slope of 3; therefore it can be written as
Now, we also know that this equation passes through the point y = -5, x = 2; therefore,
which gives
Hence, the equation of the line is
Now we have the equations
equating them gives
adding 11 to both sides gives
adding 1/2 x to both sides gives
Finally, dividing both sides by 7/2 gives
The corresponding value of y is found by substituting the above value into one of the equations
Hence, the solution to the system is