Question

13x+11y=70;11x+13y=74

Answer 1

by elimination.method....
13x+11y=70×11.......eq.1
11x+13y=74×13......eq.2
- - -
.........................
-48y= -192..
y= 4...

the value of y is put in eq...1
13x+11y=70...
13x+11×4=70...
13x =70-44..
x= 2....

Answer 2

Answer:

(2,4)

Step-by-step explanation:

Given : $13x+11y=70$

            $11x+13y=74$

To Find: Solution.

Solution:

$13x+11y=70$  --1

$11x+13y=74$    ---2

Substitute the value of x from 1 in 2

$11\frac{70-11y}{13}+13y=74$

$11(70-11y)+169y=962$

$770+48y=962$

$48y=192$

$y=\frac{192}{48}$

$y=4$

Substitute the value of y in 2 to get value of x

$11x+13(4)=74$  

$11x+52=74$  

$11x=74-52$  

$11x=22$  

$x=\frac{22}{11}$  

$x=2$  

Hence the solution is (2,4)