since y has been defined as being equivalent to 3x in equation 1. we can easily get the value of x by rewriting equation 2 and replacing y by 3x as shown below
now collect like terms together
now divide both side of the equation by 2 to get the value of x
we can now get the value of y by choosing any of the above equation and replacing x for 2
let’s choose equation 1
Therefore the solution of this equation is at a point where x=2 and y=6
this can be represented by the below graph
Lets Now Solve Example 2
now we can rewrite equation 1 and replace every x by 12+3y
now collecting like terms together.
now divide both sides of the equation by -4 to get the value of y
Now select either equation 1 or 2 and substitute y for -8 to get the value of x as shown below.
let’s choose equation 2 as x-3y=12
The solution of this equation is at a point where x=-12 and y=-8 as shown in the below graph. pt(-12,-8)
Lets now solve for the third example.
Now collecting like terms together
Now divide both side of the equation by 4
Now choose either equation 1 or 2 and replace every y by 4 to get the value of x, I will go ahead to choose equation 1
The solution of this equation is at a point where x=7 and y=7 pt (7,4)
This can be represented by the below graph
Check out more examples here
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