Mathematics
Write four solutions for the following equation:
2x + y = 7
Linear Equations
25 Likes
Answer
Given, equation :
⇒ 2x + y = 7
Substituting x = 0 in the given equation, we get :
⇒ 2(0) + y = 7
⇒ 0 + y = 7
⇒ y = 7
∴ Solution is (0, 7).
Substituting x = 1 in the given equation, we get :
⇒ 2(1) + y = 7
⇒ 2 + y = 7
⇒ y = 7 - 2
⇒ y = 5
∴ Solution is (1, 5).
Substituting x = 2 in the given equation, we get :
⇒ 2(2) + y = 7
⇒ 4 + y = 7
⇒ y = 7 - 4
⇒ y = 3
∴ Solution is (2, 3).
Substituting x = 3 in the given equation, we get :
⇒ 2(3) + y = 7
⇒ 6 + y = 7
⇒ y = 7 - 6
⇒ y = 1
∴ Solution is (3, 1).
Hence, solutions for equation 2x + y = 7 are (0, 7), (1, 5), (2, 3) and (3, 1).
Answered By
7 Likes
Related Questions
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case :
5 = 2x
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 the following equation:
πx + y = 9
Write four solutions for the following equations:
x = 4y