All categories

3 years ago

Solve the rational equation. If an equation has no solution, so state.x+6/x=-7

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Answer:

x=−1 or x=−6

Step-by-step explanation:

Multiply all terms by x and cancel:

xx+6=−7x

x2+6=−7x(Simplify both sides of the equation)

x2+6−−7x=−7x−−7x(Subtract -7x from both sides)

x2+7x+6=0

(x+1)(x+6)=0(Factor left side of equation)

x+1=0 or x+6=0(Set factors equal to 0)

x=−1 or x=−6

Check answers. (Plug them in to make sure they work.)

x=−1(Works in original equation)

x=−6(Works in original equation)

Check out this website where i got my info. https://www.mathpapa.com/algebra-calculator.html

You might be interested in

It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How

omeli [17]

Number of child tickets bought is 20

<h3>Solution:</h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

Number of child tickets bought + number of adult tickets bought = 110

c + a = 110 ----- eqn 1

Also we can frame a equation as:

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

$c \times 5 + a \times 8 = 820$

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

8 0

3 years ago

terry ate 4 less cookies than jack. alvin ate four times as many cookies as terry. if x represents the number if cookies that ja

Ierofanga [76]

Answer:

Alivin= 4(x-4)

Step-by-step explanation:

7 0

3 years ago

The male-to-female ratio in Taiwan is 52 to 48.

Neko [114]

Male to female=52:48
write as faction
52/48
divide 2
26/24
divide 2
13/12

7 0

3 years ago

Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for maximum t

Artemon [7]

Social Security tax is a percentage that both employees and employers must contribute 6.2% of employee compensation, for a total of 12.4%. The social security that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 12.4% of $106,800 = 0.124 x $106,800 = $13,243.20 The Medicare payroll tax is 2.9%. It applies only to earned income, which is wages you are paid by an employer, plus tips. You're responsible for 1.45% of the tax, and it's deducted automatically from your paycheck. Your employer pays the other 1.45% The Medicare tax that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 2.9% of $106,800 = 0.029 x $106,800 = $3,097.20

5 0

3 years ago

10.6 written as a decimal and a fraction or a mixed number in simplest form

lakkis [162]

$10.6 \times \frac{10}{10} = \frac{106}{100} = \frac{53 \times 2}{50\times 2} \\\\ = \frac{53}{50} = \boxed{\bf{1 \frac{3}{50}}}$

and 10.6 is already written as a decimal.

6 0

3 years ago

Solve the rational equation. If an equation has no solution, so state.x+6/x=-7​

Solve the rational equation. If an equation has no solution, so state.x+6/x=-7