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Grade 12Algebra

Solve the following pair of linear equations by the substitution method
3x – y = 3
9x – 3y = 9

Profile image of Pawan Prajapati
5 Years agoGrade 12
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1 Answer

Profile image of Harshit Singh
5 Years ago
Dear Student

Given, 3x – y = 3
and
9x – 3y = 9
are the two equations.
From 1st equation,
we get,
x = (3+y)/3
Now, substitute the value of x in the given second equation to get,
9(3+y)/3 – 3y = 9
⇒9 +3y -3y = 9
⇒ 9 = 9
Therefore, y has infinite values
and since,
x = (3+y) /3,
so x also has infinite values.

Thanks