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Introduction To Euclid's Geometry

Question

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Find the value of ‘m’ if (–m, 3) is a solution of equation 4x + 9y – 3 = 0.

Solution

If (–m, 3) is a solution of the equation
4x + 9y - 3 = 0, then
4(- m) + 9(3) - 3 = 0

rightwards double arrow

- 4m + 27 - 3 = 0

rightwards double arrow

- 4m + 24 = 0

rightwards double arrow

4m = 24

rightwards double arrow

straight m equals 24 over 4 equals 6

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.

Write four solutions for each of the following equations:

2x + y = 7

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