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Introduction To Euclid's Geometry

Question

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Draw the graph of each of the following linear equations in two variables:

x + y = 4

Solution

x + y = 4
x + y = 4
⇒ y = 4 – x
Table of solutions

X	1	2
y	3	2

We plot the points (1, 3) and (2, 2) on the graph paper and join the same by a ruler to get the line which is the graph of the equation x + y = 4.

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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