Mathematics Questions and Answers – Graph of a Linear Equations in Two Variables

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Graph of a Linear Equations in Two Variables”.

1. Which of the following represents the graph for equation x+y=3?
a)

b)

c)

d)

View Answer

Answer: b
Explanation: To locate the points of the equations on graph, let’s take arbitrary value of x and y equal to zero.
By taking x = 0, we get 0 + y = 3
Therefore, y = 3
First point is (0, 3)
Now by taking y = 0, we get x + 0 = 3
Therefore x = 3
Hence, second point is (3, 0)
Now that we have two points, we can generate a line by locating two points (0, 3) and (3, 0)
Considering this,

above graphis correct as the line passes through two points (0, 3) and (3, 0).
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2. What are the number of solutions of set of linear equations x+2y=6 and 3x+6y=16?
a) One
b) Two
c) Zero
d) Infinite
View Answer

Answer: c
Explanation: First equation is x+2y=6 and second equation is 3x+6y=16.
By multiplying the first equation by 3, we get 3x+6y=18, but according to the second equation, 3x+6y=16, which is impossible. Hence, given set of equations has no equation.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter