This set of Mathematics Multiple Choice Questions and Answers for Class 9 focuses on “Linear Equations Solutions”.
1. Which of the following is the solution for 2x+4y=12?
a) x=2, y=2
b) x=1, y=0
c) x=3, y=1
d) x=-1, y=4
Explanation: To find the solution of given equation, put the respective values of x and y in the given equation. If it satisfies the equation, it is the solution of given equation.
Let’s check the values given in option a, which are x=2,y=2.
2(2) + 4(2) = 4 + 8 = 12
Which satisfies the equation 2x+4y=12
Hence, it is the solution of the given equation.
2. What are the number of solutions of linear equation 2x+4y=12?
Explanation: To find the solution, we can select arbitrary value of either x or y and we will get the appropriate value of the other variable.
Suppose we take value of x=0, then we get 2(0) + 4y=12
Now, for x = 1, we get 2(1) + 4y = 12
Therefore, y = 10/4
y = 2.5
Likewise, we can get infinite solutions by taking arbitrary values of either x or y.
Sanfoundry Global Education & Learning Series – Mathematics – Class 9.
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