Question

Find the value of N such that x - N = 57/10 and x/N = -2.8 are equivalent equations.

Answer 1

-1.5

Given :

• x - N = 57/10......(1)
• x/N = -2.8.........(2)

To find :

• Value of N

Solution:

According to the question,

• x - N = 57/10
• x = 5.7 + N........(i)

Inserting the value of x from equation(i) into equation (2)

• (5.7 +N)/N = -2.8
• 5.7 + N = -2.8N
• -2.8N - N = 5.7
• -3.8N = 5.7
• -N = 5.7/3.8
• -N = 1.5
• N = -1.5....(ii)

plugging in the value of N from equation (ii) into equation (1), we get :

• x - (-1.5) = 57/10
• x + 1.5 = 5.7
• x = 5.7 -1.5
• x = 4.2

Similarly,

plugging in the value of N from equation (ii) into eq.(2), we get :

• x/(-1.5) = -2.8
• x = -2.8*-1.5
• x = 4.2

Hence, when the value of N = -1.5 ,the equations x - N = 57/10 and x/N = -2.8 , become true .