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Introduction To Euclid's Geometry

Question
CBSEENMA9002202
Wired Faculty App

Give the geometric representations of 2x + 9 = 0 as an equation
in two variables.

Solution

In two variables

2x + 9 = 0
⇒ 2x + Oy + 9 = 0

It is a linear equation in two variables x and y. This is represented by a line. All the values of y are permissible because Oy is always 0. However, x must satisfy the relation
2x + 9 = 0, i.e.     straight x equals negative 9 over 2 comma space  Hence, two solutions of the given equation are Hence,
straight x equals negative 9 over 2 comma space straight y space equals space 0 space and space straight x equals negative 9 over 2 comma space straight y equals 2
The graph AB is a line parallel to the y-axis and at a distance of 9 over 2 units to the left of origin O.

Some More Questions From Introduction to Euclid's Geometry Chapter

 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.

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?

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