The value of y in the system of the equations is: y = 1/3.
System of Equations
- Given the two linear equations, x + 3y = 6 and 2x – y = 10, we can find y using substitution method.
Thus:
Rewrite x + 3y = 6 to make x the subject of the formula
x = 6 - 3y
Substitute x = 6 - 3y into 2x – y = 10:
2(6 - 3y) – y = 10
12 - 6y = 10
-6y = 10 - 12
-6y = -2
y = -2/-6
y = 1/3
Therefore, the value of y in the system of the equations is: y = 1/3.
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