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What is cross multiplication

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What is cross multiplication

Posted by Amratansh Kashyap 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 7 months ago

The below equation is solved by cross multiplication method:
Given 5x + 4y - 4 = 0 .........(i)

x - 12y - 20 = 0 ........(ii)

Here, a₁ = 5, b₁= 4, c₁= -4

a₂= 1, b₂= - 12, c₂= - 40

By cross-multiplication method,

{tex}\frac { x } { b _ { 2 } c _ { 1 } - b _ { 1 } c _ { 2 } } = \frac { y } { c _ { 1 } a _ { 2 } - c _ { 2 } a _ { 1 } } = \frac { 1 } { a _ { 1 } b _ { 2 } - a _ { 2 } b _ { 1 } }{/tex}

{tex}\frac { x } { - 80 - 48 } = \frac { y } { - 4 + 100 } = \frac { 1 } { - 60 - 4 }{/tex}

{tex}\frac { x } { - 128 } = \frac { y } { 96 } = \frac { 1 } { 64 }{/tex}

{tex}\frac { x } { - 128 } = \frac { 1 } { - 64 } \text { and } \frac { y } { 96 } = \frac { 1 } { - 64 }{/tex}

Hence, {tex}x = 2 \text { and } y = \frac { - 3 } { 2 }{/tex}

0Thank You

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CBSE > Class 10 > Mathematics

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If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

Posted by Parinith Gowda Ms 4 months, 2 weeks ago

CBSE > Class 10 > Mathematics

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Posted by Hari Anand 7 months ago

CBSE > Class 10 > Mathematics