Mathematics Questions and Answers – Linear Equations in Two Variables

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

1. Linear equations are of __________ form.
a) ax2+bx+c = 0
b) ax+by+c = 0
c) x2+y2 = a2
d) x2-y2 = a2
View Answer

Answer: b
Explanation: Linear equations of two variables are generally denoted by ax+by+c = 0.
Generally, x and y are used as variables however, other letters can be used instead of x and y.
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2. How many solutions does a linear equation have?
a) One
b) Two
c) Three
d) Four
View Answer

Answer: a
Explanation: Let’s understand this by an example:
Suppose we want to find the solution for 9x-3 = 0
9x-3 = 0
9x = 3
Therefore x = 1/3
We can see that this linear equation has only one solution. i.e. x = 1/3
It means that there is only one number which satisfies the given equation.

3. Which of the following is the correct way to represent the equation 3x=9 in ax+by+c = 0 form?
a) 3x = -0y + 9
b) 3x + 0y = 9
c) 3x + 0y – 9 = 0
d) 3x + 0y = 9
View Answer

Answer: c
Explanation: In ax + by + c = 0, a, b and c are numbers and a, b≠0 while x and y are variables.
Given equation is 3x=9.
If we want it to represent in the ax+by+c=0 form, we can write 3x + 0y – 9 = 0 where a = 3, b = 0 and c = -9.
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4. Find the solution for the linear equation 2.5x=5?
a) x=-2
b) x=5
c) x=3
d) x=2
View Answer

Answer: d
Explanation: 2.5x=5
We know that equations is not affected by dividing the same non-zero number both sides.
Hence, dividing the equation by 2.5 both sides.
Therefore x=5/2.5
Hence, x = 2

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