The sum of two numbers is 13 and their difference is 5

let the numbers x and y

so x + y =13

    x - y  = 5

add two equations together

2x = 18

divide  both side by 2

x = 9

sub in any equation

9 + y =13

y = 4

the numbers are 9 and 4

Step-by-step explanation:

x = 9 and y = 4

Step-by-step explanation:

x + y =13 ( equation 1)

x - y = 5 ( equation 2)

From equation 1

x + y = 13

x = 13 - y

Substitute this in to equation 2

x - y = 5

( 13 - y) - y = 5

13 - y - y = 5

13 - 2y = 5

- 2y = 5 - 13

- 2y = - 8

divide both sides by -2

- 2y / -2 = - 8 / - 2

y = 4

equate this in to equation 1

x + y = 13

x + 4 = 13

x = 13 - 4

x = 9

the answer will be b x² +x-1

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b