Sponsor Area
Introduction To Euclid's Geometry
Question
Write four solutions for each of the following equations:
2x + y = 7
Solution
2x +y = 7
2x + y = 7
⇒ y = 7 – 2x
Put x = 0, we get y = 7 – 2(0) = 7 – 0 = 7
Put x = 1, we gety = 7 – 2(1) = 7 – 2 = 5
Put x = 2, we get y = 7 — 2(2) = 7 – 4 = 3
Put x = 3, we get y = 7 – 2(3) = 7– 6 = 1
∴ Four solutions are (0, 7), (1, 5), (2, 3) and (3, 1).
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.
(ii) only two solutions,
(iii) infinitely many solutions.
Sponsor Area
Mock Test Series
Mock Test Series