Question

solve the following 2x+3y=7 , 6x-5y=11

Answer 1

hope it will help uh....
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Answer 2

The solution of the equations are  $x=\frac{17}{7}$ and $y=\frac{5}{7}$

Step-by-step explanation:

Given : Equations $2x+3y=7$ and $6x-5y=11$

To find : Solve the following equations ?

Solution :

Let $2x+3y=7$ .....(1)

$6x-5y=11$  ......(2)

Multiply (1) by 3,

$6x+9y=21$ .....(3)

Subtract (2) and (3),

$6x+9y-(6x-5y)=21-11$

$6x+9y-6x+5y=10$

$14y=10$

$y=\frac{10}{14}$

$y=\frac{5}{7}$

Substitute the value in (1),

$2x+3(\frac{5}{7})=7$

$\frac{14x+15}{7}=7$

$14x+15=49$

$14x=49-15$

$14x=34$

$x=\frac{34}{14}$

$x=\frac{17}{7}$

Therefore, the solution of the equations are  $x=\frac{17}{7}$ and $y=\frac{5}{7}$

#Learn more

Solve the following equation 2x+3y=11 2x-3y+7=0

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