Question

Which of the following algebraic equations are linear equations and why?
a) x-1<4
b) y>5
C)x -9= 12
d) 8+y+2=5​

Answer 1

Answer:

C) X-9=12 is the right Answer

Step-by-step explanation:

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

An example of linear equation is y= mx + b.

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Answer 2

Answer:

option C) x-9 = 12 and

D)8+y+2 = 5 are the liner equations

Step-by-step explanation:

C) x-9 = 12

or, x = 12 + 9

or, x = 21

it can also be written as x + 0×y = 21

d) 8+y+2=5

or, y+10 = 5

or, y = 5-10

or, y = -5

it can also be written as

x×0 + y = -5

We know that an equation will be linear equation if

1) it's highest power is 1

2) it is made of two variables.

3) it has a equal(=) sign.

and the equations of option C) and d) are abided by the conditions. so, option C) and d) are linear equations.

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