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Byju's Answer

Standard VIII

Mathematics

Linear Equation in One Variable

Which of the ...

Question

Which of the following is a linear equation?

i) $x - 2 y = 76$

ii) $x + 78 y^{3} = 98$

iii) $x^{2} + 2 x - 5 = 0$

iv) $x^{2} + 2 x + 2 = 0$

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Solution

The correct options are
A
a)

B
b)

The degree of a linear equation is always 1.

Hence the equation $x - 2 y = 76$ is a linear equation.

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Similar questions

Q. Find what the following equations become when the origin is shifted to the point (1, 1).
(i) x² + xy − 3y² − y + 2 = 0
(ii) xy − y² − x + y = 0
(iii) xy − x − y + 1 = 0
(iv) x² − y² − 2x + 2y = 0

$Find what the following equations become when the origin is shifted to the point(1,1) ? (i) x^{2} + x y - 3 y - y + 2 = 0 (i i) x^{2} - y^{2} - 2 x + 2 y = 0 (i i i) x y - x - y + 1 = 0 (i v) x y - y^{2} - x + y = 0$

Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically:

Q. Which of the following are quadratic equation in x ?
(i)

x^{2} - x + 3 = 0

(ii)

2 x^{2} + \frac{5}{2} x - \sqrt{3} = 0

(iii)

\sqrt{2} x^{2} + 7 x + 5 \sqrt{2} = 0

(iv)

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(v)

x^{2} - 3 x - \sqrt{x} + 4 = 0

(vi)

x - \frac{6}{x} = 3

(vii)

x + \frac{2}{x} = x^{2}

(viii)

x^{2} - \frac{1}{x^{2}} = 5

(ix)

{(x + 2)}^{3} = x^{3} - 8

(x)

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(xi)

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Q. Find whether the following equation have real roots. If real roots exist, find them
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8 x^{2} + 2 x - 3 = 0

(ii)

- 2 x^{2} + 3 x + 2 = 0

(iii)

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(iv)

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x^{2} + 5 \sqrt{5} x - 70 = 0

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Which of the following is a linear equation? i) x−2y=76 ii) x+78y3=98 iii) x2+2x−5=0 iv) x2+2x+2=0

The correct options are A a) B b) The degree of a linear equation is always 1. Hence the equation x−2y=76 is a linear equation.

Which of the following is a linear equation?

i) $x - 2 y = 76$

ii) $x + 78 y^{3} = 98$

iii) $x^{2} + 2 x - 5 = 0$

iv) $x^{2} + 2 x + 2 = 0$

The correct options are
A
a)

B
b)

The degree of a linear equation is always 1.

Hence the equation $x - 2 y = 76$ is a linear equation.