Question

Identify the algebraic linear equations from the given expressions. (a) x2 + x = 2 (b) 3x + 5 = 11 (c) 5 + 7 = 12 (d) x + y2 = 3

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Identify the algebraic linear equations from the given expressions

(a) $\sf{ {x}^{2} + x = 2 \: }$

(b) 3x + 5 = 11

(c) 5 + 7 = 12

(d) $\sf{ x + {y}^{2} = 3 \: }$

CONCEPT TO BE IMPLEMENTED

LINEAR EQUATION

A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

REASON BEHIND THE NAME

If you plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line.

EVALUATION

CHECKING FOR OPTION (a)

The given equation is

$\sf{ {x}^{2} + x = 2 \: }$

Here in the equation highest exponent of the variable x is 2

So the equation is not linear equation

So this option is not correct

CHECKING FOR OPTION (b)

The given equation is

$\sf{3x + 5 = 11 \: }$

Here in the equation highest exponent of the variable x is 1

So the equation is a linear equation

So this option is CORRECT

CHECKING FOR OPTION (c)

The given expression is 5 + 7 = 12

Since the expression does not involve any variable So the expression is not an equation

So this option is not correct

CHECKING FOR OPTION (d)

The given equation is

$\sf{ x + {y}^{2} = 3 \: }$

Here in the equation highest exponent of the variable y is 2

So the equation is not linear equation

So this option is not correct

FINAL ANSWER

The correct option is (c) 3x + 5 = 11

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Answer 2

Answer:

3x+5= 11

Step-by-step explanation:

is the correct answer