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Introduction To Euclid's Geometry

Question
CBSEENMA9002166
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Draw the graph of the equation 3x + y = 8. Use it to find some solutions of the equation and check from the graph whether x = 2, y = 2 is a solution.

Solution

3x + y = 8
⇒ y = 8 – 3x
Table of solutions

x

0

3

y

8

-1

We plot the points (0, 8) and (3, – 1) on the graph paper and join the same by a ruler to get the line which is the graph of the equation 3jc + y = 8.

∵ The point (2, 2) lies on the graph.

∴ x = 2, y = 2 is a solution of the given equation.

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.

 Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions.

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