Question

Solve
152x - 378y = -74
-378x + 152y = -604​

Answer 1

Answer:

X=731.09/378

y =  4267/5103

Step-by-step explanation:

Given Equation ------

152x-378y = -74

Solving -------

2(76x-189y) = -74

=>76x-189y = $\frac{-74}{2}$

=>76x-189y = -37

=>76x = 189y-37

=>x = $\frac{189y-37}{76}$  -------(i)

Now 2nd Given equation

-378x + 152y = -602

Now putting (i) in 2nd equation,

-378$[ \frac{189y-37}{76}]$ + 152y = -602

=>-189$[ \frac{189y-37}{38}]$ +152y = -602

=>$\frac{-35721y+6993}{38}$= -602

=>6993-35721y = -22876

=> -35721y = -29869

=> 35721y = 29869

=> y = 29869/35721

=> y =  4267/5103

Now as we got the value of y we will find the value of x

-378x+152(4267/5103) = -604

-378x = -604-(648584/5103)

-378x = (-3082212-648584)/5103

378x = (3730796/5103)

=>X=731.09/378

Hope this helps✌️

Answer 2

$152x - 378y = -74$ --------(1)

$-378x + 152y = -604$ ------(2)

$From \: eq. \: (1) \: + eq. \: (2) -$

$-226x - 226y = -678$

$-226(x + y) = -678$

$(x + y) = 3$

$x = 3 - y$ ------(3)

From eq. (1) & eq. (3)

$[152(3 - y) - 378y] = -74$

$[456 - 152y - 378y] = -74$

$(456 + 74) = 530y$

$530y = 530$

$y =‌ 1$

$then ,$

$x = 2$