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3 years ago

Solve the system of equations. y=x-1 y=-x-5

Mathematics

2 answers:

koban [17]3 years ago

8 0

There is something wrong with the question. Check it again

lyudmila [28]3 years ago

7 0

Answer:

there is some mistake in question

Step-by-step explanation:

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Help please 50 points!

uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

$\rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x$

to do so isolate -x to the left hand side and change its sign:

$\rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 }$

simplify addition:

$\rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 }$

square both sides:

$\rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2}$

simplify square of the right hand side:

$\rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1$

use (a-b)²=a²-2ab+b² to expand the left hand side:

$\rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1$

swap the equation:

$\rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25$

isolate the right hand side expression to the left hand side and change every sign:

$\rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0$

simplify:

$\rm\displaystyle {x}^{2} + 11x - 26= 0$

rewrite the middle term as 13x-2x:

$\rm\displaystyle {x}^{2} + 13x - 2x - 26= 0$

factor out x:

$\rm\displaystyle x({x}^{} + 13)- 2x - 26= 0$

factor out -2:

$\rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0$

group:

$\rm\displaystyle (x- 2)(x + 13)= 0$

by Zero product property we obtain:

$\displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}$

solve for x:

$\displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}$

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

$\rm\displaystyle 5 - x \geq0$

solve the inequality for x:

$\rm\displaystyle x \leqslant 5$

since 2 and -13 is less than 5 both solutions are valid for x hence,

$\displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}$

and we're done!

4 0

3 years ago

Read 2 more answers

Which of the binomials below is a factor of this trinomial x^2+3x-28

Rom4ik [11]

^ this is the correct answer

3 0

4 years ago

Select at the tru statements about this graph

ira [324]

Answer: a,e

Step-by-step explanation:

8 0

3 years ago

4 sweets cost 28 altogether hiw much does 7 sweets cost

Misha Larkins [42]

4 sweets cost 28
so 28/4 = 7 per sweet costs

So 7 sweets will be: 7 x 7 =49
Answer 7 sweets cost 49

6 0

4 years ago

Read 2 more answers

kurt drives a total of 32 miles to and from work everyday. he works 5 days a week. how many miles does kurt drive in a week for

galben [10]

Answer:

320 miles

Step-by-step explanation:

he drives to work 5 times a week and back 5 times a week, so 5+5 = 10 and 32x10 is 320

7 0

3 years ago