Question

Pls solve this using substitution method
2f -3g =11 , 3f-5g=15

Answer 1

Answer:

f = 10 and g = 3.

Step-by-step explanation:

2f - 3g = 11 ..... (i)

3f - 5g = 15 .... (ii)

From equation (ii), we get,

3f - 5g = 15

⇒ 3f = 15 + 5g

⇒ f = 15 + 5g / 3 ..... (iii)

Substituting the value of equation (iii) in equation (i),

2f - 3g = 11

⇒ 2(15 + 5g / 3) - 3g = 11

⇒ 30 + 10g / 3 - 3g = 11

⇒ 30 + 10g - 9g / 3 = 11

⇒ 30 + g = 33

⇒ g = 33 - 30

⇒ g = 3

Placing the value of g in equation (iii),

f = 15 + 5g / 3

⇒ f = 15 + 15 / 3

⇒ f = 30 / 3

⇒ f = 10

Hope it helped, Plz vote ^.^

Answer 2

Hope this answer helps