# Mathematics Questions and Answers – Linear Equations Solutions

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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?
a) One
b) Two
c) Three
d) Infinite

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
y=12/4
Therefore, y=4
Now, for x = 1, we get 2(1) + 4y = 12
4y=12-2=10
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. 