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Introduction To Euclid's Geometry

Question
CBSEENMA9002156
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 If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.

Solution

If the point (3, 4) lies on the graph of the equation
                      3y = ax + 7,  then
                      3(4)  = a(3) + 7
rightwards double arrow                12 = 3a + 7
rightwards double arrow                 3a = 12 - 7
rightwards double arrow                  3a = 5
rightwards double arrow                   straight a equals 5 over 3

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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