Question

1) complete the following activity to solve the simultaneous equations 5x+3y=9__(I)
2x+3y=12__(II)​

Answer 1

Answer:

5x+3y = 9 ............ equation(1)

2x+3y = 12 ............. equation (2)

(-) (-) (-)

__________

3x = -3

x = -3/3

x = -1

Substitute x = -1 in equation (1)

5x + 3y = 9

5(-1) + 3y = 9

-5 + 3y = 9

3y = 9 + 5

y = 14/3

Answer 2

Question:

Complete the following activity to solve the simultaneous equations.

5x + 3y = 9   -----(I)

​2x + 3y = 12   -----(II)

Step-by-step explanation:

5x + 3y = 9   -----(I)

​2x + 3y = 12   -----(II)

Add (I) & (II)

7x = 21

x = 3

Putting the value of x = 3 in (I) we get

5(3) + 3y = 9

⇒ 15 + 3y = 9

⇒ 3y = 9 - 15 = - 6

⇒ y = - 2

Thus,

(x, y) = (3, -2)