Math, asked by gopal1789, 1 year ago

2x+5y=1,2x+3y=3 cross multiplication ​

Answers

Answered by vubandas
21

Answer:

eq..... i*1=2x+5y=1

eq...... ii*1=2x+3y=3

____________-_-__-________

2y=4

y=2/4=1/2

2x+3(1/2)=3

=> 2x+3/2=3

=>3x=3

=> x=3/3=1

x=1,y= 1/2

Answered by ChiKesselman
43

The solution of the equation is x = 3 and y = -1.

Step-by-step explanation:

We are given the following equation in the question:

2x+5y=1\\2x+3y=3

Writing equation in general form:

2x+5y-1=0\\2x+3y-3=0

Comparing:

a_1x + b_1y + c_1 =0\\a_2x + b_2y + c_2 =0

Solution:

\dfrac{x}{b_1c_2-b_2c_1}=\dfrac{y}{c_1a_2-a_2c_1}=\dfrac{x}{b_2a_1-b_1a_2}

Putting value, we get,

\dfrac{x}{5(-3)-(-1)(3)} = \dfrac{y}{-1(2)-(-3)(2)} = \dfrac{1}{3(2)-5(2)}\\\\\dfrac{x}{-12}=\dfrac{y}{4}=\dfrac{1}{-4}\\\\\Rightarrow x = 3\\\Rightarrow y = -1

Thus, the solution of the equation is x = 3 and y = -1.

#LearnMore

SOLVE by cross multiplication 4x+6y=5, 2x+9y=3

https://brainly.in/question/4834672

Similar questions