The sum of two numbers is 40. if the larger is divided by the smaller, the quotient is 5 and the remainder is 4. find the number.

Step-by-step explanation:

Let x be the large number and y be the small number.

Given:

The sum of two numbers is 40.

So the first relation is.

---------(1)

The large value is divided by smaller value.

So, , and the quotient is 5 and the remainder is 4.

and second relation is.

The denominator y is cancelled both side.

x value put in the equation 1

Put y value in equation 1

Therefore, x value is 36 and y value is 6.

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form