CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Cross-Multiplication Method of Finding Solution of a Pair of Linear Equations

Solve, using ...

Question

Solve, using cross-multiplication

$0.4 x - 1.5 y = 6.5 0.3 x + 0.2 y = 0.9$

Open in App

Solution

As we know

$fraction numerator x over denominator b subscript 1 c subscript 2 minus b subscript 2 c subscript 1 end fraction equals fraction numerator negative 1 over denominator a subscript 1 b subscript 2 minus a subscript 2 b subscript 1 end fraction equals fraction numerator y over denominator c subscript 1 a subscript 2 minus c subscript 2 a subscript 1 end fraction s u b s t i t u t i n g space v a l u e s space a n d space t a k i n g space f i r s t space 2 space t e r m s x equals fraction numerator negative left square bracket open parentheses negative 1.5 cross times 0.9 close parentheses minus open parentheses 0.2 cross times 6.5 close parentheses right square bracket over denominator open parentheses 0.4 cross times 0.2 close parentheses begin display style minus end style begin display style open parentheses 0.3 cross times negative 1.5 close parentheses end style end fraction equals fraction numerator 2.65 over denominator 0.53 end fraction equals 5 s i m i l l a r l y space f o r space y y equals fraction numerator begin display style minus end style begin display style left square bracket end style open parentheses 0.65 cross times 0.3 close parentheses begin display style minus end style begin display style open parentheses 0.4 cross times 0.9 close parentheses end style begin display style right square bracket end style over denominator open parentheses 0.4 cross times 0.2 close parentheses begin display style minus end style begin display style open parentheses 0.3 cross times negative 1.5 close parentheses end style end fraction equals fraction numerator negative 1.59 over denominator 0.53 end fraction equals negative 3$

Suggest Corrections

thumbs-up

3

Similar questions

Solve for x and y:

$0.4 x + 0.3 y = 1.7, 0.7 x - 0.2 y = 0.8.$

Q. Solve the following systems of equations:

0.4x + 0.3y = 1.7
0.7x − 0.2y = 0.8

Q. Solve the following systems of simultaneous linear equations by the method of elimination by equating the coefficient.

0.4 x + 0.3 y = 1.7

0.7 x - 0.2 y = 0.8

Solve, using cross-multiplication

$4 x - y = 5 5 y - 4 x = 7$

Solve using cross multiplication

5x − 3y = 26

4x + 2y = 34

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Solution

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Cross-Multiplication Method of Finding Solution of a Pair of Linear Equations

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon