1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
otez555 [7]
3 years ago
6

Systems of equations and inequalities solving systems by elimination {y= -x+1 {y= 4x-14

Mathematics
2 answers:
kodGreya [7K]3 years ago
5 0

Answer:

x = 3  , y = -2

Step-by-step explanation:

Solve the following system:

{y = 1 - x | (equation 1)

y = 4 x - 14 | (equation 2)

Express the system in standard form:

{x + y = 1 | (equation 1)

-(4 x) + y = -14 | (equation 2)

Swap equation 1 with equation 2:

{-(4 x) + y = -14 | (equation 1)

x + y = 1 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{-(4 x) + y = -14 | (equation 1)

0 x+(5 y)/4 = (-5)/2 | (equation 2)

Multiply equation 2 by 4/5:

{-(4 x) + y = -14 | (equation 1)

0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{-(4 x)+0 y = -12 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by -4:

{x+0 y = 3 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 3  , y = -2

Ira Lisetskai [31]3 years ago
3 0

Answer:

<h2>x = 3, y = -2 ⇒ (3, -2)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=-x+1\\y=4x-14&\text{chnge the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}y=-x+1\\-y=-4x+14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-5x+15\qquad\text{add}\ 5x\ \text{to both sides}\\.\qquad5x=15\qquad\text{divide both sides by 5}\\.\qquad\dfrac{5x}{5}=\dfrac{15}{5}\\.\qquad\boxed{x=3}\\\\\text{Substitute the value of}\ x\ \text{to the first equation:}\\\\y=-3+1\\\boxed{y=-2}

You might be interested in
Step by step how to get 22.04 times 2.8 with work
Bumek [7]

Answer:

61.712

Step-by-step explanation:

Multiply .8x.04

Multiply .8x.0

Multiply .8x2

Multiply .8x2

Than add a zero under the answer of .8x.04

Multiply 2x.04

Multiply 2x.0

Multiply 2x2

Multiply 2x 2

4 0
3 years ago
Please help! If possible please show your work. Thank you in advance!! :D
Rudiy27

Answer:

  • (-4)³ = -64
  • -64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

6 0
2 years ago
I do not get this help
katovenus [111]
The answer is 50 because if u add 20 and 50 it makes 70:)
4 0
3 years ago
Read 2 more answers
I'm not sure how to do this! 50 points?
Rus_ich [418]

Answer:

MOP=33

Step-by-step explanation:

MOP + MON = NOP

Substitute what we know

MOP = 3x-3

MON = 4x+9  

NOP = 90   right angle

3x-3+4x+9 = 90

Combine like terms

7x+6 =90

Subtract 6 from each side

7x+6-6=90-6

7x = 84

Divide each side by 7

7x/7 = 84/7

x =12

We need to find MOP

MOP = 3x-3

        =3(12)-3

         36-3

        33

6 0
3 years ago
Read 2 more answers
*you get 16 points*PLEASE ANSWER i’m kinda failing so help
sleet_krkn [62]

Answer:

Graph 4

Step-by-step explanation:

Parallel lines have no solution  to the system of equation.  Graph 4 is a set of parallel lines, so they will never intersect.

3 0
3 years ago
Other questions:
  • Question 4
    5·1 answer
  • Can someone please help me answer this question ASAP.
    5·1 answer
  • roman mixes 1.5 liters of orange juice w 800 milliliters of pineapple juice to make punch, for every 1 liter there are 1000 mill
    6·1 answer
  • A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of
    7·2 answers
  • I need to know the mean
    14·2 answers
  • Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x rep
    10·2 answers
  • CLEAR HIGHLIGHTING
    15·1 answer
  • Please help, I’ll give brainly!!!
    9·1 answer
  • Jane finished a race in 7 minutes. How many seconds is this.
    11·2 answers
  • 3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!