1. The problem asks to write the equations of the lines graphed and find the solution to the system. 2. For the second problem, solve the system by graphing the equations: $$y = 6$$ $$y = 3x - 3$$ 3. To find the solution, set the two equations equal since at the solution point both $y$ values are the same: $$6 = 3x - 3$$ 4. Add 3 to both sides: $$6 + 3 = 3x - 3 + 3$$ $$9 = 3x$$ 5. Divide both sides by 3: $$\frac{9}{\cancel{3}} = \frac{3x}{\cancel{3}}$$ $$3 = x$$ 6. Substitute $x=3$ back into one of the original equations to find $y$: $$y = 6$$ 7. So the solution to the system is: $$(x, y) = (3, 6)$$ This means the two lines intersect at the point $(3,6)$. "slug": "solve system graphing","subject": "algebra","desmos": {"latex": "y=6, y=3x-3","features": {"intercepts": true,"extrema": true}},"q_count": 3