One number is eight more than a second number. Five times the first is 8 less than 2 times the second. Find the numbers. The value of the first number is?
The value of the second number is?

Step-by-step explanation:

let the 2 numbers be x and y.

x - 8 = y --(1)

5x = 2y - 8 --(2)

sub (1) into (2):

5x = 2(x - 8) - 8

5x = 2x - 24

3x = -24

x = -8

sub x = -8 into (1):

y = -8 - 8 = -16

first number is -8 and second number is -16.

Topic: algebraic equations + simultaneous equation

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hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: