Answer:
The solution is x=3, y=1
Step-by-step explanation:
we have
[tex]x+3y=6[/tex] ----> equation A
[tex]4x-6y=6[/tex] ----> equation B
Rewrite each equation in slope intercept form
[tex]y=mx+b[/tex]
Equation A
[tex]x+3y=6[/tex]
isolate the variable y
[tex]3y=-x+6[/tex]
[tex]y=-\frac{1}{3}x+2[/tex] ----> equation A in slope intercept form
Equation B
[tex]4x-6y=6[/tex]
isolate the variable y
[tex]6y=4x-6[/tex]
[tex]y=\frac{4}{6}x-1[/tex]
Simplify
[tex]y=\frac{2}{3}x-1[/tex] ----> equation B in slope intercept form
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The intersection point is (3,1)
therefore
The solution is x=3, y=1
see the attached figure
