Question

can you give me example of linear equation and answer it with solution​

Answer 1

Answer:

Solve (i) 3x − 1=5 (ii) 4x +2=9 (iii) 6 − 2x = 1 (iv) 5x +1= −9 (v) 3x +1= x − 5 (vi) 6x − 1=3 − 2x (vii) 2 − 3(x − 2) = x + 4 (viii) 5(x − 1) + 1 = 2(x − 2). In general, a linear equation in one variable has just one solution, i.e., a unique solution.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

An Equation having the maximum order of 1 is known as a Linear equation.

Below are some examples of linear equations in 1 variable, 2 variables and 3 variables:

Linear Equation in One variable

3x+5=0

3x+5=032x+7=0

3x+5=032x+7=0 98x = 49

Linear Equation in Two variable

y+7x=3

y+7x=33a+2b = 5

y+7x=33a+2b = 56x+9y-12=0

Linear Equation in Three variable

x + y + z = 0

x + y + z = 0a – 3b = c

3x + 12 y = ½ z

Problems and Solutions

Example 1: Solve x = 12(x +2)

Solution:

x = 12(x + 2)

x = 12x + 24

Subtract 24 from each side

x – 24 = 12x + 24 – 24

x – 24 = 12x

Simplify

11x = -24

Isolate x, by dividing each side by 11

11x / 11 = -24/11

x = -24/11

Example 2: Solve x – y = 12 and 2x + y = 22

Solution:

Name the equations

x – y = 12 ———- (1)

2x + y = 22 ———- (2)

Isolate Equation (1) for x,

x = y + 12

Substitute y + 12 for x in equation (2)

2(y+12) + y = 22

3y + 24 = 22

3y = -2

or y = -2/3

Substitute the value of y in x = y + 12

x = y + 12

x = -2/3 + 12

x = 34/3

Answer: x = 34/3 and y = -2/3