Q:

NEED HELP FAST PLEASE WILL GIVE BRAINLIESTGraph the system of equations.y=−x+418x+6y=−6

Accepted Solution

A:
Answer: The graph is attached.Step-by-step explanation: The equation of the line in Slope-Intercept form is: [tex]y=mx+b[/tex] Where "m" is the slope and "b" is the  y-intercept. The line intersects the x-axis when [tex]y=0[/tex] . Having the first equation: [tex]y=−x+4[/tex] Notice that: [tex]b=4[/tex] Substituting [tex]y=0[/tex] into the first equation and solving for "x", you get the x-intercept: [tex]0=-x+4\\\\x=4[/tex] Knowing that this line passes through the points [tex](0,4)[/tex] and [tex](4,0)[/tex], you can graph it. Having the second equation: [tex]18x+6y=−6[/tex]  We you must solve for "y":  [tex]18x+6y=-6\\\\6y=-18x-6\\\\y=-3x-1[/tex] Notice that: [tex]b=-1[/tex] Substituting [tex]y=0[/tex] into threequation and solving for "x", you get  that the x-intercept  is: [tex]0=-3x-1\\1=-3x\\\\x=-\frac{1}{3}[/tex] Since the second line passes through the points [tex](0,-1)[/tex] and [tex](-\frac{1}{3},0)[/tex], we can graph it.