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Introduction to Euclid's Geometry
Question
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Draw the graph of linear equation 2x + y = 8on Cartesian plane. Write the coordinates of the points where this line intersects x-axis and y-axis.

Answer

2x + y = 8
⇒ y = 8 – 2x
Table of solutions

x

4

0

y

0

8

We plot the points (4, 0) and (0, 8) on a graph paper and join the same by a ruler to get the line which is the graph of the equation 2x + y = 8.

From graph, we see that this line intersects the x-axis at the point (4, 0) and the y-axis at the point (0, 8).

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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?

Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

Write each of the following as an equation in two variables:

(i) x = – 5 (ii) y = 2

(iii) 2x = 3 (iv) 5y = 2.