# Linear Equations Questions and Answers

## Questions on Linear Equations

A Linear Equation is used when power of any constant unknown variable is one and the variable has one or more than one. Linear equation has the form: ax+b=0. This page is based on Linear Equations Questions and Answers.

### Rules for Linear Equations Questions and Answers.

• If a=b then a+c=b+c for any c. All this is saying is that we can add a number, c, to both sides of the equation and not change the equation.
• If a=b then a−c=b−c for any c. As with the last property we can subtract a number, c, from both sides of an equation.
• If a=b then ac=bc for any c. Like addition and subtraction, we can multiply both sides of an equation by a number, c, without changing the equation.
• If a=b then a/c=b/c for any non-zero c. We can divide both sides of an equation by a non-zero number, c, without changing the equation.

#### Let us now look up at some of the Linear Equations Questions and Answers that will strengthen your topic.

Question 1

Time: 00:00:00
The roots of the equation $4x-3\times 2x+2+32=0$ would include-

20

20

40

40

5

5

17

17

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Question 2

Time: 00:00:00
If $ax =b, by=c and cz =a$, then the value of xyz is:

4

4

2

2

3

3

1

1

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Question 3

Time: 00:00:00
If x = 1+21/2 and y=1-21/2, then x2+y2 is -

107/2

107/2

203/2

203/2

997/2

997/2

445/2

445/2

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Question 4

Time: 00:00:00
If  4x+3 = 2x+7 [\latex], then the value of x is:

2

2

1

1

3

3

4

4

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Question 5

Time: 00:00:00
 2x+y = 2\times (2)\frac {1}{2} [\latex] and  2x-y = \frac {21}{2} [\latex] ,the value of x is:

10/14

10/14

9/8

9/8

25/8

25/8

5/4

5/4

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Question 6

Time: 00:00:00
If x = 8, y = 27, the value of $\sqrt{\left ( \frac{x^{4}}{3} + \frac{y^{2}}{3} \right )}$ is:

$\sqrt{ \frac{4828}{3}}$

$\sqrt{ \frac{4828}{3}}$

$\sqrt{ \frac{4825}{3}}$

$\sqrt{ \frac{4825}{3}}$

$\sqrt{ \frac{4818}{3}}$

$\sqrt{ \frac{4818}{3}}$

$\sqrt{ \frac{4826}{3}}$

$\sqrt{ \frac{4826}{3}}$

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Question 7

Time: 00:00:00
If xy = yx and x = 2y, the value of y is:

1

1

2

2

3

3

4

4

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Question 8

Time: 00:00:00
If 2x + 3y = 16 and 2x - 3y= 36, the value of x is:

13

13

23

23

33

33

43

43

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Question 9

Time: 00:00:00
If 6(x-3) = 36(x-5), then what is the value of x?

51/5

51/5

27/5

27/5

15/7

15/7

17/3

17/3

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Question 10

Time: 00:00:00
Determine whether the ordered triple (3,−2,1) is a solution to the system.

x+y+z=26,

x−4y+5z=315,

x+2y+2z=13

True

True

False

False

No solution

No solution

None of the above

None of the above

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Question 11

Time: 00:00:00
Question 11. Find the solution to the given system of three equations in three variables.
2x+y−3z=0 .......................(1)
4x+2y−6z=0 .....................(2)
x−y+z=0 ...........................(3)

No solution

No solution

Infinite solution

Infinite solution

Unique Solution

Unique Solution

None of the above solutions

None of the above solutions

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["0","40","60","80","100"]
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