Question

.solve using substitution method​

Answer 1

Answer:

Step-by-step explanation:

3x/2 - 5y/3 = -2 ........................................................(1)

x/3 + y/2 = 13/6 ........................................................(2)

from equation 1 we get

3x/2 - 5y/3 = -2

(9x - 10y ) = -12

9x = 10y - 12

x = (10y - 12) / 9 ................................................................(3)

using the value of x in equation 2 we get

(10y - 12) / 27 + y/2 = 13/6

( 20y - 24 + 27y ) / 54 = 13/6

6( 47y - 24 ) = 54 * 13

282y - 144 = 702

y =( 702 + 144 ) / 282 = 3

using the value of y in equation 3 we get

x = 30 - 12 / 9 = 2