Answer
Solution: $(\frac{5}{2}, -2)$
Work Step by Step
$$y = 2x -7$$ $$4x + 3y = 4$$ Since we already have the variable $y$ isolated: $$4x + 3(2x - 7) = 4$$ $$4x + 6x - 21 = 4$$ $$10x = 25$$ $$x = \frac{5}{2}$$ Plugging this value into the other equation: $$y = 2x - 7$$ $$y = 2(\frac{5}{2}) - 7$$ $$y = 5 - 7 = -2$$