Question

solve the following pair of linear equations by substitution method 2x+3y=11 , 2x -4y =-24

1) x= -2 and y= 5

2) x= 5 and y= -2

3) x= 2 and y= -5

​

Answer 1

Answer:

1) x = - 2 and y = 5

Step-by-step explanation:

$\left \{ {{2x+3y=11} \atop {2x-4y=-24}} \right.$

2x + 3y = 11 ⇒ 2x = - 3y + 11 ..... (1)

2x - 4y = - 24 ⇒ 2x = 4y - 24 ..... (2)

LHS of (1) = LHS of (2) ⇒ RHS of (1) = RHS of (2)

4y - 24 = - 3y + 11 ⇔ 7y = 35 ⇒ y = 5

y ----> (1)

2x + 3(5) = 11 ⇒ x = - 2

The answer is 1) x = - 2 and y = 5