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
Lemur [1.5K]
3 years ago
14

Solve the following system of equations: −2x + y = 1 −4x + y = −1

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

<h2>x = 1, y = 3 → (1, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3

You might be interested in
Adam currently runs about 20 miles per week,aND he wants to increase his weekly mileage by 30% How many miles will Adam run per
mel-nik [20]
20miles increased by 30%=new mileage added

20x.3= 6

6 miles more than his previous distance so...

6+20= 26


NOTE you can also use 1.3 instead of .3 as the percent to get the answer with out addition.

7 0
3 years ago
Rewrite the fraction with the denominator of 33 6/11=/33
Sonja [21]
You would time the denominator by 3 so 11*3 would be 33 then times the numerator by the same so 6*3 soot would be 18/33
7 0
3 years ago
Isaac has spent $20 to set up cable service and the monthly fee is $54.95. Write an equation to represent the total amount it co
Liono4ka [1.6K]
Do 54.95 + 20.00 and you get 80.95
8 0
3 years ago
Read 2 more answers
5=2/3x what does x equal
mixer [17]

Answer:

I dont know if u mean 5 equals 2 divided by 3x, but I got 2/15

Step-by-step explanation:

3 0
3 years ago
How to solve a polynomial function
jolli1 [7]
1. A polynomial function is a function that can be written in the form f(x)=anxn +an−1xn−1 +an−2xn−2 +...+a2x2 +a1x+a0, where each a0, a1, etc. represents a real number, and where n is a natural number Here are the steps required for Solving Polynomials by Factoring:

Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Example 2 – Solve: x3 + 5x2 = 9x + 45

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems

Example 3 – Solve: 6x3 – 16x = 4x2

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems

Example 4 – Solve: 3x2(3x + 4) = 12x(x + 3)

Step 1: Write the equation in the correct form. In this case, we need to remove all parentheses by distributing and set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems

Example 5 – Solve: 16x4 = 49x2

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
7 0
3 years ago
Other questions:
  • You have a normal model. The population mean is 500 and standard deviation is 100. Which of the following options would be the c
    9·1 answer
  • Jack met Jill Jill had 16 gallons of water in a bucket jack has ? gallons of water in his bucket answer the equation to figure o
    13·2 answers
  • Is 14/4573 a rational number?
    12·1 answer
  • 6.
    9·1 answer
  • What is 75 cm = ___ m?
    9·1 answer
  • mr. Nolan's code for ATM card is a four digit number. the digits of the code are prime factors of 84 listed from least to greate
    13·1 answer
  • PLEaSE HELP THIS IS THE LAST ONEEE!!!!!1
    5·2 answers
  • Jennifer spent $100 at the mall, during tax free weekend.
    15·1 answer
  • 20POINTS<br> x-4y=1 and 2 x-8y=2
    7·1 answer
  • X times 3+6 when X equals four
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!