How do you solve these corresponding equations (will use the values of y and x to graph)
3x-y-=5 and x+3y=6
I've figured out how to solve 3x-y=5 by doing this:
3x-y=5
y=3x-5
But what about the other one? (x+3y=6)
this here is a common linear system.
there are three ways to solve, elimination, substitution, and by graphing
I will use substitution since it is easiest for this linear system
y=3x-5
x+3y=6
plug the value of y into the second equation
x+3(3x-5)=6
x+9x-15=6
10x=6+15
x=21/10
x=2.1
take that value and plug it into the other equation
y=3(2.1)-5
y=6.3-5
y=1.3
Thefore, the answer is (2.1,1.3)