Question

Which of the following is a linear (or simple) equation in one variable? Give reasons. [4 MARKS]

(i) x2=5

(ii) x+y=4

(iii) x+6=9

(iv) x2+y2=9

(i) x2=5

(ii) x+y=4

(iii) x+6=9

(iv) x2+y2=9

Solution

1 Mark each

(i) x2=5 is not a linear equation since the highest exponent of the variable is 2.

(ii) x+y=4 has two variables in it. So, it is not a linear equation.

(iii) x+6=9 is a linear equation in one variable.

(iv) x2+y2=9 has two variables in it, and the highest exponent is 2. So, it is not a linear equation.

(i) x2=5 is not a linear equation since the highest exponent of the variable is 2.

(ii) x+y=4 has two variables in it. So, it is not a linear equation.

(iii) x+6=9 is a linear equation in one variable.

(iv) x2+y2=9 has two variables in it, and the highest exponent is 2. So, it is not a linear equation.

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