A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) Source StylesNormal
Answers
Answer:
Intersect/Solution at (1, -2)
Step-by-step explanation:
Equation 1: y = 3x - 5
Equation 2: y = 6x - 8
Step 1 Mutliply each side of equations one by -2
New Equation 1: -2y = -6x + 10
New Equation 2: y = 6x -8
Add the Equations: -y = +2
Multiply each side by -1 and you'll get that y = -2
Plug in -2 to either equation: -2 = 3x - 5
add 2 to each side 0 = 3x -3
add 3 to each side 3x = 3
divide by 3 and you'll get that x = 1
Part A:The solution of the pair of the equation is,x=1 and y=- -2.
Part B: If the two equations are graphed, at point (1,-2) will the lines representing the two equations intersect.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
A pair of equations is shown below:
y = 3x − 5 -------1
y = 6x − 8 --------2
Substitute the value of y from the equation 1 into equation 2;
3x − 5=6x − 8
3x=-5+8
3x=3
x=1
Put the value of x in the equation 1;
y = 3x − 5 -------1
y=3(1)-5
y=- -2
Hence,the solution of the pair of the equation is,x=1 and y=- -2 and at point (1,-2) will the lines representing the two equations intersect.
To learn more about slope intercept form refer:
https://brainly.com/question/2503591
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Related Questions
1 point
Which phrase best describes the expression 3x +4y + 1/2 z
A. the product of three variables
B. The value of three coefficients
C. the quotient of three terms
D. the sum of three terms
Answers
Answer:
D
Step-by-step explanation:
It would be D "the sum of three terms".
Since your just finding the sum (or total) of three integers (numbers).
is the expression 3^2/3^3 equivalent to 3^3/3^2
explain.
Answers
Answer:
No, the two expressions are not equivalent.
Step-by-step explanation:
3²÷3³ = 9÷27 = 1/3
3³÷3² = 27÷9 = 3
Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.
How much wood did it take to cover the ramp, including the bottom?
Give an exact answer (do not round).
Answers
Answer:
triangle side = 0.54
so both triangle sides = 1.08
and then the sides (1.5 * 3.5) * 2 = 10.5
the last side = 0.9 * 3.5 = 3.15
so add it all 3.15 + 10.5 + 1.08
total area = 14.73 m^2
Please Help I Will Give 5 Stars
Answers
POD: 4 (2a + 3) = 28
Answers
Answer:
a = 2
Step-by-step explanation:
4 (2a + 3) = 28
4 * 2
= 8
4 * 3
= 12
8a + 12 = 28
28 - 12
= 16
8a = 16
16 / 8
= 2
a = 2
PLS
Evaluate 8.3x + 7.9y when x=6 and y=7 .
Answers
Answer:
105.1
Step-by-step explanation:
you have to substitute the values in and then u add to get the answer
hope this helps :D
Answer:
105.1
Step-by-step explanation:
Rewrite 8.3x + 7.9y with the indicated substitutions:
8.3(6) + 7.9(7), or
49.8 + 55.3, or
105.1
anyone plz yo know why i,mhere like always
Answers
Answer:
I think that G is the correct answer , 24 ft2 .
hope it helps u ..:)
Which is an example of a statistical question?
Questions
Question 1 What percent did Matti score on his English test?
Question 2 What letter grade did each person score on their English test?
Question 3 Who scored the best on their English test?
Question 4 Who scored the worst on their English test?
A. question 1
B. question 2
C. question 3
D. question 4
Answers
Answer:
I think it is question 2, B
Answer:
question 2! or option B)
Step-by-step explanation:
Statistics are data that involves more then one person.
please consider marking me as brainliest! Have an amazing day lovely!
PLEASE HELP FAST! What is the area of a circle with a diameter of 10 cm?
Answers
Answer:
i think A
Step-by-step explanation:
Answer:
c is the answer :)
Step-by-step explanation:
A rectangle has a length of 8 feet and a width of 3 feet. If a right triangle has a height of 3 feet, what length would its base be if it has the same area as the rectangle?
Answers
Have a great day!!!!!
A recipe for maroon paint says, “Mix 5 ml of red paint with 3 ml of blue paint.” Use snap cubes to represent the amounts of red and blue paint in the recipe. Then, draw a sketch of your snap-cube representation of the maroon paint. Your teacher will provide directions on how to use the snap-cubes. What amount does each cube represent? How many milliliters of maroon paint will there be?
Answers
Answer:
8 ml
Step-by-step explanation:
Each cube equals 1ml add them up dude...
Can someone help me figure this out if its blurry i'll try to write the whole thing out for you guys so plss answer this question
Answers
Answer:
Part 2) 5 hr
Part 3) $80 and $160
Step-by-step explanation:
Part 2) Equate the two pay equations: 20H = 10H + 50
Subtract 10H from both sides: 10H = 50
Then H = 5.
After 5 hours, each would have earned the same amount.
Part 3) In an 8-hour day, one guy would earn ($20/hr)(8 hr) = $160, and the other guy would earn ($10/hr)(8 hr) = $80.
Answer:
2. 5 hours
3. $80 and $160
HHELPPPPP another math up thing #2
_________________________________
1. Estimate each amount. Show or explain how you estimated one of the amounts.
a) 3/8 of 3/4
b) 7 1/0 of 8 1/2
c) 5/2 of 5/2
2. Calculate each amount.
a) 4/5 × 3 1/5
b) 4 2/3 × 3 2/5
c) 9/4 × 6/5
3. a) Explain why this is true:
3 1/4 × 2 2/3 > 6.
b) Explain why 3 1/4 × 2 2/3 is the area of a rectangle
3 1/4 units × 2 2/3 units.
(: plllllz help!! ill give u brainlist, thank you,5 stars,+ u get the points!! :D
Answers
Answer:
wwx
Step-by-step explanation:
Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
And show your work plz!
Answers
Answer:
H
Step-by-step explanation:
3:2 IS EQUAL TO 3/2
someone please help me
Answers
Answer:
n/2 = 9
Step by Step:
n/2 = 9
n/2 * 2 = 9 * 2
n = 9* 2
n = 18
MATH SMARTIES I WILL GIVE BRAINLIEST PLEASE HELP AND PLEASE GIVE AN EXPLANATION!!!!!!!!!!!!!!
Answers
Answer:
30 books on the shelf are Fiction.
Step-by-step explanation:
Hey!
There are 50 books on a shelf.
1/5 of the books are Science Fiction.3/10 are Non-Fiction.The Rest are Fiction.how many books on the shelf are Fiction?
==================================================================
MAKE AN EQUATION!
We know that there are three Categories: Fiction, Science Fiction, and Non Fiction.
Total- 50
⇒ 50 =
1/5 of 50 are SF
⇒ 50 = (1/5)(50)
3/10 of 50 are NF
⇒ 50 = (1/5)(50) + (3/10)(50) + x
--------------------------------------------------------------------------------------------------------------
SOLVE THE EQUATION!
(1/5)(50) + (3/10)(50) + x = 50
To Isolate X-
-Multiply and remove the parentheses..
⇒ 50/10 + 150/10 + x = 50
-Simplify.
⇒ 5 + 15 + x = 50
-Add Like Terms
⇒ 20 + x = 50
-Subtract 20 from both sides.
⇒ 20 + x - 20 = 50 - 20
-Simplify Right Hand Side.
⇒ x = 30
--------------------------------------------------------------------------------------------------------------
So, 30 books on the shelf are Fiction.
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
May someone please help me, please? This is about exponents by the way. About 5 questions I need help with.
Answers
Answer:
16=16^1
1/4=(1/2)^2
25= 5^2
49=7^2
16=4^2
Step-by-step explanation:
HELP PLEASE ASAP!!!!
Answers
Answer:
D and A
Step-by-step explanation:
At a dinner, a meal costs $22 and a sales tax of $1.87 was added to the bill.
1. How much would the sales tax be on a $66 meal?
2. What is the sales tax rate in this city?
Answers
Answer:
$8.50, the rate is 9.65%
Step-by-step explanation:
A help me outtt rq i dont know
Answers
Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help on both of these questions.
Answers
Answer:
i dont know, just need some points
Step-by-step explanation:
The question about triangles is below.
The answer choices are:
A. 30°
B. 40°
C. 75°
D. 85°
Answers
Answer:
A.
Step-by-step explanation:
Answer: Hes wrong its 40
Step-by-step explanation:picking 30 made me get an 80
What is the difference between a sample and a population?
a. Populations only consider a portion of the sample being studied. This answer is incorrect.
b. Samples are generally much larger than populations.
c. Populations do not always represent the entire group of people in question.
d. Samples only consider a portion of the population being studied.
Answers
In 10^3(exponent), 10 is the base, and 3 is the exponent. That means 10 will appear as a factor 3 times: 10 · 10 · 10. 10^3(exponent) = 1000.
In 2^7, how many times will 2 appear as a factor?
A
2
B
14
C
7
D
9
Answers
Can someone help me please!!!
Answers
1. 109
2. 52
3. 4
4. 89
5. 111
6. 72
52
4
89
111
72
Is the answers good luck
b. Write an equation that shows the relationship 64% of
y is 40.
c. 45 of x is 72 find the value if x
Answers
B.
[tex]0.65 \times y = 40 \\ y = \frac{40}{0.65} [/tex]
C.
[tex].45 \times x = 72 \\ x = \frac{72}{.45} \\ x = 160 \\ 45 \: percent \: of \: 160 \: is \: 72[/tex]
Please help me out
ill brainliest u
Answers
Answer:
1) x-3=0
4) 6=2x
6) x²=9
Step-by-step explanation:
x-3=0
x=3
----
1+x = 2
x = 2-1
x = 1
----
9-x=3
9-3=x
6=x
----
6=2x
6/2=x
3=x
----
x/5=3
x=3*5
x=15
----
x²=9
x=±3
These are the value of x solved for each equations. If you have any questions, feel free to ask.
Answer:
1. yes
2. no
3. no
4. yes
5. no
6. yes
Step-by-step explanation:
A box of Capri Sun costs $2.49. How much do a dozen boxes of Capri Sun cost? To solve this real world problem, the first thing you need to know is a dozen equals Next you need to 2.49 and to find out that a dozen boxes of Capri Sun will cost .
Answers
Answer:
$29.88
Step-by-step explanation:
Answer:
29.88
Step-by-step explanation:
You have to multiply 2.49*12=29.88
A dozen is equivalent to 12
Mr. Chang buys supplies for the school store. He bought 300 pencils on sale for $10. During the first three months of school, he sold 200 pencils and made $50. The other pencils were thrown away because they were broken. How much profit did Mr. Chang make on the pencils?
Answers
Answer:
$40
Step-by-step explanation:
He bought the pencils for $10, so his expense was $10. He sold the pencils for $50, and $50 - $10 is $40, and that's the total amount of money he made.
PLEASE EXPLAIN THIS IM SO CONFUSED (dont send links)
_____________________________________________________
Lyn played a trivia game. She answered 6 questions and received the following scores: 200, -400, 100, -600, 700, and 200. What was Lyn's score?
Answers
Answer: Her end score would be 200 points.
Step-by-step explanation:
Add everything together like so, 200+-400+100+-600+700+200 and that equals 200