All categories

3 years ago

What is the solution to this system of equations? y = x - 20 x + y = 84

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

Answer:

(52, 32 )

Step-by-step explanation:

Given the 2 equations

y = x - 20 → (1)

x + y = 84 → (2)

Substitute y = x - 20 into (2)

x + x - 20 = 84, that is

2x - 20 = 84 ( add 20 to both sides )

2x = 104 ( divide both sides by 2 )

x = 52

Substitute x = 52 into (1) for corresponding value of y

y = 52 - 20 = 32

Solution is (52, 32 )

You might be interested in

The total cost of a jacket and a pair of shoes was $95.11. If the price of the jacket was $2.79 less than the pair of shoes, wha

vovangra [49]

The cost of the jacket purchased using the System of equation is $46.16

Given the cost prices :

Total cost = $95.11
Cost of shoes = x
Cost of jacket = x - 2.79

We could set up an equation relating the cost of each item to the total Cost :

Total cost = cost of jacket + cost of shoes

95.11 = x - 2.79 + x

95.11 = 2x - 2.79

95.11 + 2.79 = 2x

97.90 = 2x

x = 97.90 / 2

x = 48.95

Cost of jacket = $48.95 - 2.79 = $46.16

Therefore, Cost of jacket is $46.16

Learn more : brainly.com/question/24938959

8 0

2 years ago

Evaluate the expression for h=-54. |h| + 30=

insens350 [35]

1. Observe problem

2. Plug in values

|-54|+30=

54+30=

3 0

3 years ago

When simplifying 4x^3-10x^2+6x/2x^3+x^2-3x, what are the term(s) that can be cancelled

brilliants [131]

Answer:

x can be cancelled

Step-by-step explanation:

we are given

$\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}$

Firstly, we will factor numerator and denominator

and then we can factor it

$4x^3-10x^2+6x=2x(2x^2-5x+3)$

$4x^3-10x^2+6x=2x(2x+1)(x-3)$

now, we can factor denominator

$2x^3+x^2-3x=x(2x^2+x-3)$

$2x^3+x^2-3x=x(x-1)(2x+3)$

now, we can replace it

$\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}=\frac{2x(2x+1)(x-3)}{x(x-1)(2x+3)}$

we can see that

both terms are having x common

so, x can be cancelled

So,

x can be cancelled

3 0

3 years ago

What is the answer? #16 . thanks

rjkz [21]

If I got it correctly, the question is what is 24x^2y^6-16x^6y^2+4xy^2 divided by 4xy^2 and the answer is 6xy^4-4x^5+1.

6 0

3 years ago

Which numbers are rational? Check all that apply.

Degger [83]

The last three are rational numbers because whole numbers can’t be rational

6 0

3 years ago