2x + y = 5 / 4x + 2y = 10 by substitute method and eliminating method
Answers
Step-by-step explanation:
In the systems of equation determine whether the system has a unique solution, no solution or infinite solutions. In case there is a unique solution, find it: 2x + y = 5; 4x + 2y = 10
The given system of equations is: 2x + y – 5 = 0 4x + 2y – 10 = 0 The above equations are of the form a1 x + b1 y − c1 = 0 a2 x + b2 y − c2 = 0 Here, a1 = 2, b1 = 1, c1 = −5 a2 = 4, b2 = 2, c2 = −10 So according to the question, we get a 1 a 2 a1a2 = 2 4 24 = 1 2 12 b 1 b 2 b1b2 = 1 2 12 and, c 1 c 2 c1c2 = − 5 − 10 −5−10 = 1 2 12 ⇒ a 1 a 2 a1a2 = b 1 b 2 b1b2 = c 1 c 2 c1c2 Hence, we can conclude that the given system of equation has infinity many solutions.Read more on Sarthaks.com - https://www.sarthaks.com/625865/2x-y-5-4x-2y-10
Answer:
x+y=5-2
x+y=3
4x+y=8
x+y=4