Question

10.Solve the following equations by substitution method
a) 2x + y = 18 ; x – 3y = -33​

Answer 1

Answer:

x = 3, y = 12

Solution:

From first equation, on transposing 2x to right side,

we get, y = 18 - 2x.

Substituting the above value of y in second equation,

x - 3(18-2x) = -33

=> x - 3*18 -3*-2x = -33

=> x - 54 + 6x = -33

=> 7x = -33 +54

=> 7x = 21

=> x = 21/7

=> x = 3

Thus, y = 18 - 2(3) = 18 -6 = 12

Answer 2

Answer:

x=3, y=12

Step-by-step explanation:

from equation 1 we get y=18-2x

put it in equation 2