How can I solve this system of linear equation by substitution 3x+y=11 and -2x+y=1

Answers

Answer 1

Answer: We can answer this question by solving each equation for one variable, and then substituting.

3x + y = 11 Given
y = -3x + 11 Subtract 3x from both sides

This equation is now solved for y. Now, let's do the other equation. Make sure to solve it for the same variable.

-2x + y = 1 Given
y = 2x + 1 Add 2x to both sides

Now, let's set both equations equal to each other, since they both equal y.

2x + 1 = -3x + 11 Set both equations equal to each other
1 = -5x + 11 Subtract 2x from both sides
-10 = -5x Subtract 11 from both sides
2 = x Divide both sides by -5

Now, let's substitute x in for one of the equations we found earlier, so that we can find y.

y = 2x + 1 Given
y = (2)(2) + 1 Substitute the x-value, 2
y = 4 + 1 Multiply
y = 5 Add

So, x = 2 and y = 5.

Hope this helps!

Answer 2

Answer: First will make Equation take on the form of y = mx + b. I've cchosen the second Equation:

y = 2x + 1

Now substitute this equation in for y into the other equation and solve:

3x+y = 11
3x+ (2x + 1)=11
5x + 1 = 11
5x = 11 - 1
5x/5= 10/5
x = 2

You can now plug this x-value back into either equation, and solve for y:

y = 2(x) + 1
y = 2(2) + 1
y = 5

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Create a fraction with a denominator of 100 that is equivalent to 2/10

Answers

A fraction with a denominator of 100 that is equivalent to 2/10 is 20/100. This is so because 10 x 10=100 and 2 x 10=20.

20/100 is the answer

Katie has read 32% of a book. if she has read 80 pages, how many more pages does Katie have left to read ?

Answers

Hi

100%-32% = 68%

32% ⇒ 80 pages
68% ⇒ x pages

32x = 80·(68)
32x = 5440
x = 5440/32
x = 170 pages left to read

Answer: 170 pages

Answer:

Step-by-step explanation:

x=total number of pages.

1)we calculate the total number of pages.

32% of x =80

(32/100)x=80

x=(80*100)/32

x=250.

2) we calculate the number of pages don´t read.

number of pages don´t read=250-80=170

Answer: 170 pages.

I need help pleas and thnk u

Answers

smallest x intercept is (-8,0)
Biggest x-intercept is (7,0)

Answer:

Yup other answer is correct! :)

Step-by-step explanation:

Rodrigo practiced playing the guitar for 15 1/3 hours over the past 3 weeks. He practiced for 6 1/4 hours during the first week and 4 2/3 hours during the second week. How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to write an equation that represents the problem. Then solve the equation.

Answers

15 1/3 - 6 1/4 - 4 2/3 = 4.41666666667 hours

What is the square root of -3

Answers

9 is the right answer

according to my calculator it says NaN

What are the steps of doing 309 times 29

Answers

1. you do 309 times 29
2. then when you got that answer write a zero at the bottom of that answer.
3. then do 309 times 9
4. then add those 2 answers together and you get your answer.

hope this helped!

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