Question

(5) 5x + 2y = -3; x + 5y =4
answer me please ​

Answer 1

The two linear equations in two variables given are :

• 5x + 2y = - 3 . . . . . (1)
• x + 5y = 4 . . . . . (2)

Getting the value of x from (1) :

• 5x + 2y = - 3
• 5x = - 3 - 2y
• x = - 3 - 2y/5 . . . . . . (3)

Substituting the value of x from (3) in (2) :

• x + 5y = 4
• (- 3 - 2y/5) + 5y = 4
• - 3/5 - 2y/5 + 5y/1 = 4
• - 3 - 2y + 25y/5 = 4
• 23y - 3 = 4 (5)
• 23y = 20 + 3
• 23y = 23
• y = 23/23
• y = 1

★ The value of y in the equations is 1.

Substituting y = 1 and finding x from (2) :

• x + 5y = 4
• x + 5 (1) = 4
• x + 5 = 4
• x = 4 - 5
• x = - 1

★ The value of x is - 1 in the equations.