The number of weeks by which the students in both classes will know how to write the same number of letters will be 4 weeks.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive.
Mr. McMillan has already taught his class 8 letters.
The students in Ms. Burke's class, who started the unit later, currently know how to write 12 letters.
Mr. McMillan plans to teach his class 4 new letters per week.
Ms. Burke intends to cover 3 new letters per week.
Eventually, the students in both classes will know how to write the same number of letters.
Then the number of weeks by which the students in both classes will know how to write the same number of letters will be
Let x be the number of the weeks and y be the total number of the letters.
Then the equation will be
y = 4x + 8 …1
y = 3x + 12 …2
Then by solving the equations 1 and 2, we have
x = 4 and y = 24
More about the linear system link is given below.
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