Which graph best represents the solution to the system of equations shown below?y = -4x + 19y = 2x + 1

First find the x and y values because where the lines will intersect, they share the point of the intersection so they will share the x and y coordinates. Rearrange equations[tex]4x + y = 19[/tex][tex] - 2x + y = 1[/tex]To cancel y, we must do equation 1 minus equation 2. Similarly:[tex]4x - - 2x = 4x + 2x = 6x[/tex][tex]19 - 1 = 18[/tex][tex]6x = 18[/tex][tex]x = 18 \div 6 = 3[/tex]So the x coordinate is 3. The y coordinate can be found with substitution of x into one of the equations:[tex]y = 2x + 1 = 2(3) + 1 = 7[/tex]So where the two lines intersect is at the point (3, 7), which is the solution to the equations.