How do you put 7x+14y=3x-10 into standard form?

Adrian Cervantes

Adrian Cervantes

Answered question

2022-01-31

How do you put 7x+14y=3x-10 into standard form?

Answer & Explanation

Hana Larsen

Hana Larsen

Beginner2022-02-01Added 17 answers

Explanation:
I was taught, and have taught out a quite a few textbooks that teach, that standard form for a linear equation in two variables is: Ax+By=C
Starting with 7x+14y=3x-10 we need to get all of the term involving the variables on the left. Subtract 3x from both sides to get:
7x-3x+14y=3x-3x-10 which simplifies to:
4x+14y=-10
The weakness of standard from is that it is not unique. Every line has infinitely many standard from equations. If I multiply both sides of the equation above by 12, I get smaller numbers:
12(4x+14y)=12(10)
124x+1212y=5
2x+7y=-5

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