Question

solve cross multiplication method 5X -3y =2 4x+ 7y =-3​

Answer 1

Answer:

Given

5x-3y=24x+7y=-3

5x=-3+3y

x=-3+3y/5

5(-3+3y)/5-3y=-3

-15+15y-3y=-3

12y=-3+15

y=12/12

y=1

x=-3+3y/5

x=-3+3*1/5

x=-3+3/5

x=0/5

x=0

Answer 2

The required solutions are:

$x=\frac{5}{47} \\\\y=-\frac{23}{47}$

Step-by-step explanation:

In order to solve by cross multiplication method , we will write the given equation in the standard form.

$5x-3y=2\\\\\Rightarrow 5x-3y-2=0\\\\4x+7y=-3\\\\\Rightarrow 4x+7y+3=0$

The coefficient of x are 5 and 4

The coefficient of y are -3 and 7

The constant terms are -2 and 3

We can use the attached table to solve the equation

From the table we get:

$\frac{x}{(-3\times 3)-(7\times (-2)}=\frac{y}{(-2\times 4)-(3\times 5)} =\frac{1}{5\times 7-(4\times (-3))} \\\\\\\frac{x}{-9+14}=\frac{y}{-8-15} =\frac{1}{35+12} \\\\\\\frac{x}{5}=\frac{y}{-23} =\frac{1}{47}$

Equate x term with the constant term

$\frac{x}{5}=\frac{1}{47}$

Cross Multiply

$x=\frac{5}{47}$

Similarly equate y term with the constant term

$\frac{y}{-23}=\frac{1}{47}$

Cross Multiply

$y=-\frac{23}{47}$

Learn More:

DO THIS WITH CROSS MULTIPLICATION METHOD

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