The sum of two numbers are 50 in the quotient is four

The numbers are 40 and 10

Step-by-step explanation:

Let the numbers be x and y

According to given conditions:

x + y = 50   eq 1

x/y = 4 eq 2

Taking eq 2

x/y = 4

Multiplying both sides by y

y * x/y = 4 * y

x = 4y

Putting value of x in eq 1 we get

x + y = 50

4y + y = 50

5y = 50

Dividing both sides by 5

y = 50/5

y = 10

Putting y = 10 in eq 1 we get

x + y = 50

x + 10 = 50

Subtracting 10 from both sides

x + 10 - 10 = 50 - 10

x = 40

So the numbers are 40 and 10

Proof:

As

40 + 10 = 50

and

40/10 = 4

hence proved

I hope it will help you!

step-by-step explanation:

cats

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is