Question

Solve for x:
a) x - 15% of x = Rs 170
b) x = 150 - 20% of x

Answer 1

To solve the linear equations a) x - 15% of x = Rs 170 and b) x = 150 - 20% of x, first simplify and combine like terms, then isolate x to find that x equals Rs 200 and 125, respectively.

Step-by-step explanation:

The first equation can be written as:

x - 0.15x = 170

Let's simplify by combining like terms:

x(1 - 0.15) = 170

x(0.85) = 170

Now, divide both sides by 0.85 to solve for x:

x = 170 / 0.85

x = 200

So, x equals Rs 200 for the first equation.

For the second equation:

x = 150 - 0.2x

Add 0.2x to both sides to combine like terms:

x + 0.2x = 150

1.2x = 150

Now, divide both sides by 1.2 to find x:

x = 150 / 1.2

x = 125

So, x equals 125 for the second equation.