Question

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Solution

The given equation is
2x = y ⇒ 2x – y
⇒ 2x – y + 0 = 0
Comparing with ax + by + c = 0, we get
a = 2
b = –1
c = 0
This equation has infinitely many solutions.

Some More Questions From Introduction to Euclid's Geometry Chapter

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

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Introduction To Euclid's Geometry

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Some More Questions From Introduction to Euclid's Geometry Chapter

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

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