Identify the algebraic linear equations from the given expressions.
x² + x = 2
3x + 5 = 11
5 + 7 = 12
x + y² = 3
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Answers
Answer:
TO CHOOSE THE CORRECT OPTION
Identify the algebraic linear equations from the given expressions
(a) \sf{ {x}^{2} + x = 2 \: }x
2
+x=2
(b) 3x + 5 = 11
(c) 5 + 7 = 12
(d) \sf{ x + {y}^{2} = 3 \: }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 \: }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 \: }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
Answer:
3x+5=11 is a linear equation
Step-by-step explanation:
hope it helps