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What is the solution of the following system of eauations 3y equals 5x and y equals x plus 2?
There are two equations for which we must determine both variables, x and y.
3y = 5x
y = x + 2
We are going to use the substitution method to isolate one of the variables in one of the equations. The second equation defines "y" for us in terms of "x", so we will simply substitute that value into the first equation
3y = 5x
3(x + 2) = 5x
3x + 6 = 5x
6 = 2x
x = 3
Now that we have a value for "x", we will substitute that back into the second equation to get a numerical value for "y".
y = x + 2
y = 3 + 2
y = 5
Then, do not forget to check your work by putting both values into both equations to make sure you have the correct answer.
3y = 5x
3(5) = 5(3)
15 = 15
Check!
y = x + 2
5 = 3 + 2
5 = 5
Check!
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Check your text book for how to solve it.
