Question

50*x=500-150 y:90=36:12 1000-x=600-53

Answer 1

50·х=500-150 у:90=36:13 1000-х=600-53

Answer 2

Let's break down each equation and solve for the variables:

1. 50x = 500 - 150y

To solve for x, we need to isolate it on one side of the equation. Let's simplify the equation:

50x = 500 - 150y

Divide both sides of the equation by 50:

x = (500 - 150*y) / 50

Simplifying further:

x = 10 - 3*y

2. 90 = 36:12

In this equation, the expression "36:12" represents a ratio. To simplify the ratio, we need to divide both numbers by their greatest common divisor (GCD). The GCD of 36 and 12 is 12:

90 = (36 ÷ 12):(12 ÷ 12)

Simplifying:

90 = 3:1

So the ratio 36:12 is equivalent to 3:1.

3. 1000 - x = 600 - 53

Let's solve for x in this equation:

1000 - x = 600 - 53

Combine like terms:

1000 - x = 547

To isolate x, subtract 1000 from both sides of the equation:

• x = 547 - 1000

Simplifying:

• x = -453

To solve for x, multiply both sides of the equation by -1:

x = 453

So the value of x in this equation is 453.

To summarize the solutions:

1. x = 10 - 3*y
2. The ratio 36:12 is equivalent to 3:1.
3. x = 453