Question

b) Solve the given equation.
2x + 3y = 11 and 2x - 3y = -5​

Answer 1

ANSWER:

• The value of x = 3/2, y = 8/3.

GIVEN:

• 2x + 3y = 11

• 2x - 3y = - 5

TO FIND:

• Solution of the given equations.

EXPLANATION:

◈ 2x + 3y = 11 -------> 1

◈ 2x - 3y = - 5 -----> 2

Add the two equations

➳ 2x + 3y + 2x - 3y = 11 - 5

➳ 4x + 0 = 6

➳ 4x = 6

➳ 2x = 3

➳ x = 3/2

Substitute x = 3/2 in equation 1

➳ 2(3/2) + 3y = 11

➳ 3 + 3y = 11

➳ 3y = 8

➳ y = 8/3

Hence the value of x = 3/2 and the value of y = 8/3.

VERIFICATION:

➳ 2x - 3y = - 5

Substitute x = 3/2 and y = 8/3

➳ 2(3/2) - 3(8/3) = - 5

➳ 3 - 8 = - 5

➳ - 5 = - 5

HENCE VERIFIED.