Q:

Graph the system of equations {3x+y=6 -3x-4y=12

Accepted Solution

A:
Answer:   see attachedStep-by-step explanation:A graphing calculator can easily show you a graph of these equations. (see attached)__If you want to graph them by hand, it is convenient to make use of the x- and y-intercepts. For an equation in standard form each of the intercepts is found by dividing the constant by the coefficient of the variable   ax +by = c . . . . . . equation of a line   x-intercept: c/a   y-intercept: c/b__For the first equation, the intercepts are ...   x-intercept: 6/3 = 2, point (2, 0)   y-intercept: 6/1 = 6, point (0, 6)For the second equation, the intercepts are ...   x-intercept: 12/-3 = -4, point (-4, 0)   y-intercept: 12/-4 = -3, point (0, -3)In each case, the line can be drawn through the plotted intercept points.