Question

Solve for x and y , 152x-378y= -74 and -378+152y= -604

Answer 1

Answer:

x = 1.45 and y = 0.77

Step-by-step explanation:

Given : $152x-378y= -74$

           $-378x+152y= -604$

To Find: x and y

Solution:

$152x-378y= -74$  --1

$-378x+152y= -604$   --2

Substitute the value of x from 1 in 2

$-378(\frac{-4+378y}{152})+152y= -604$

$1512-142884y+23104y= -91808$

$1512−119780y= -91808$

$1512+91808=119780y$

$93320=119780y$

$\frac{93320}{119780}=y$

$0.77909=y$

Substitute the value of y in 1

$152x-378(0.77909)= -74$

$152x-294.49602= -74$

$152x= -74+294.49602$

$152x= 220.49602$

$x= \frac{220.49602}{152}$

$x= 1.4506$

Thus x = 1.45 and y = 0.77