Question

Isolve by
substitution method : - 2x + 3y = 9 ; 3x + 4y = 5​

Answer 1

Answer:

hope it helps

Step-by-step explanation:

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Answer 2

Answer:

• x = 21
• y = 17

Step-by-step explanation:

Given :

– 2x + 3y = 9 ------ (1)

3x + 4y = 5 ------- (2)

Solution :

⇒ –2x + 3y = 9

⇒ –2x = 9 – 3y

⇒ x = $\sf{\dfrac{9 - 3y}{-2}}$ ----- (3)

$\rule{300}{1.5}$

Place the Value of x in Equation (2)

⇒ $\sf{3\bigg(\dfrac{9 - 3y}{-2}\bigg)}$ + 4y = 5

⇒ $\sf{\dfrac{27 - 9y}{-2}}$ + 4y = 5

⇒ $\sf{\dfrac{-9y}{-2}}$ + 4y = 5 - $\sf{\dfrac{27}{-2}}$

⇒ $\sf{\dfrac{-9y+8y}{-2}}$ = $\sf{\dfrac{10-27}{-2}}$

⇒ $\sf{\dfrac{-y}{-2}}$ = $\sf{\dfrac{-17}{-2}}$

⇒ 2 × y = 17 × 2

⇒ 2y = 34

⇒ y = $\sf{\dfrac{34}{2}}$

⇒ y = 17

$\rule{300}{1.5}$

Place the Value of y in Equation (3) -

⇒ x = $\sf{\dfrac{9 - 3(17)}{-2}}$

⇒ x = $\sf{\dfrac{9 - 51}{-2}}$

⇒ x = $\sf{\dfrac{-42}{-2}}$

⇒ x = 21

Therefore,

• x = 21
• y = 17