The system of equation is x + y = 216 and (2/3)x + (4/9)y = 118 option (A) is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A total of 216 people bought tickets for the matinee and night showing of the school play.
Let x be the total number of tickets sold for the matinee and y for the night show.
Based on the data given we can frame two linear equations:
x + y = 216 and
(2/3)x + (4/9)y = 118
Thus, the system of equation is x + y = 216 and (2/3)x + (4/9)y = 118 option (A) is correct.
Learn more about the linear equation here:
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