Question

Solve the following by substitution method 2x -5y = 60 and y+2x=0​

Answer 1

Answer:

Solution of the equation is,

(x,y) = (5,-10)

Step-by-step explanation:

2x - 5y = 60 .... (1)

y + 2x = 0 ... (2)

From (2)

y = -2x .... (3)

(1) = 2x - 5(-2x) = 60

= 12x = 60

= x = 5

Therefore,

y = -10

Answer 2

Given:

• 2x - 5y = 60
• y + 2x=0

To find:

• The value of x and y?

Solution:

A S S U M P T I O N S :

• Let us assume –

2x - 5y = 60 [Eq - 1]

y + 2x=0 [Eq - 2]

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« From equation 1,

→ 2x - 5y = 60

→ 2x = 60 + 5y

→ x = 60 + 5y/2

⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

« Substituting the value of x in eq 2,

→ y + 2x = 0

→ y + 2(60 + 5y/2) = 0

→ y + 60 + 5y = 0

→ 6y + 60 = 0

→ 6y = -60

→ y = -60/6

→ y = -10

∴ Hence, The value of y is -10.

⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

« Substituting the value of y in eq 2,

→ y + 2x = 0

→ -10 + 2x = 0

→ 2x = 10

→ x = 10/2

→ x = 5

∴ Hence, The value of x is 5.