Question

1. Complete the following activity to solve the simultaneous equations
5x - 3y = 13 and 2x + 3y = 1​

Answer 1

Answer:

x = 2, y = -1

Step-by-step explanation:

2x + 3y = 1

x = (1 - 3y)/2

5x - 3y = 13

5 (1 - 3y) / 2 - 3y = 13

5/2 - 15/2y - 6/2y = 13

-21/2y = 13 - 5/2 = 26/2 - 5/2 = 21/2

=> y = -1

=> x = (1 - 3[-1])/2 = 2

Answer 2

Question:

Complete the following activity to solve the simultaneous equations.

5x - 3y = 13   -----(I)

​2x + 3y = 1   -----(II)

Step-by-step explanation:

5x - 3y = 13   -----(I)

​2x + 3y = 1   -----(II)

Add (I) & (II)

7x = 14

x = 2

Putting the value of x = 2 in (I) we get

5(2) + 3y = 13

⇒ 10 + 3y = 13

⇒ 3y = 13 - 10 = 3

⇒ y = 1

Thus,

(x, y) = (2, 1)