2. Solve the system of equations.
1
ży 22
—1
x + 3y = 2 = 10
11/x + 2
+ z = -4
Answers
9514 1404 393
Answer:
(x, y, z) = (2, 1, -5)
Step-by-step explanation:
There are numerous equation solvers available on the web. The attached result is from one of them.
__
You may find it easier to solve these by hand if you eliminate fractions.
2x -y +z = -2x +3y -z = 10x +0y +2z = -8The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.
If you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.
3(2x -y +z) +(x +3y -z) = 3(-2) +(10)
6x -3y +3z +x +3y -z = -6 +10
7x +2z = 4 . . . . [eq4]
Subtracting the third equation from this eliminates z, so you have ...
(7x +2z) -(x +2z) = (4) -(-8)
6x = 12
x = 2
Substituting into the third equation gives ...
2 +2z = -8
2z = -10
z = -5
Then using the first equation, you have ...
y = 2x +z +2 = 2(2) +(-5) +2 = 1
(x, y, z) = (2, 1, -5)
Related Questions
Three inches of snow fell on Monday. Five inches of snow fell on Tuesday. One-half inch of snow fell on Wednesday. How much snow fell during these three days? Show your work in the space below. Don't forget to label the units on your answer.
Answers
Answer:
9 and a half
Step-by-step explanation:
Solve the trigonometric equation for all values 0 < x < 2pi
sec x – 1= 0
Answers
Answer: x= pi
Step-by-step explanation:
Which expression is equivalent to (m^2-3m+7)(m-5)^-1
Answers
Answer:
a
Step-by-step explanation:
expanding the question x(x + 2)
Answers
Answer:
x^2 + 2x ?
Step-by-step explanation:
Sorry I dont understand math good hope this helps..
What is the solution to the system of linear equations graphed below?
Will give BRAINLEST
Answers
Answer:
C.
Step-by-step explanation:
Your answer is C because that is where the lines meet.
Answer:
it 1/2,4
Step-by-step explanation:
Round 87,365,219 to the nearest million
Answers
Answer:
87,000,000
Step-by-step explanation:
The millionths place in 87,365,219 starts at 7.
87,365,219
The rhyme that I learned for this when I was younger was: 5 and above give it a shove, 4 or below, let it go.
The number 3 after the 7 is less than five so you would have to let it go. So, everything after 7 would become zeros and you would not round 7 up.
Your final answer becomes 87 million
Hope this helps! :)
After rounding 87,365,219 to the nearest million, the number is 87000000.
Rounding number to the nearest millionFocus on the digit in the next position to the right for rounding a number to the nearest million. If the number is 5, round up and if the number is 4 or less than 4, round down.
How to round the given number to the nearest million?Consider the following figure.
The hundred thousand place number is 3 which is less than 4.
Thus, round down to 87000000.
Therefore, after rounding 87,365,219 to the nearest million, the number is 87000000.
Learn more about the rounding number to the nearest million here -
https://brainly.com/question/2750605
#SPJ2
The amount a hardware store pays for buying nylon rope is represented by the equation y 5 0.12x, where y is the price it pays for x feet of rope. The amount the hardware store charges when selling the rope is represented by the graph.
The profit the store makes on the rope can be found by subtracting the amount it charges for the rope from the price it pays for the rope. If the store sells 80 feet of rope, how much profit does it make on that rope?
(Look at the link)
Please answer I really need help.
Answers
Answer:
Ayo its ( $6.40 )
Step-by-step explanation:
I did it for my do now once.
The profit would be $6.4 if the store sells 80 feet of rope the answer would be $6.4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The amount a hardware store pays for buying nylon rope is represented by the equation
y = 0.12x, where y is the price it pays for x feet of rope.
Plug x = 80 feet
y = 0.12(80)
y = $9.6
The equation for the graph:
y = 0.20x
Plug x = 80 feet
y = $16
The profit = 16 - 9.6 = $6.4
Thus, the profit would be $6.4 if the store sells 80 feet of rope the answer would be $6.4.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
nce a year, a store offers a free frozen yogurt to its customers. Each customer can cl he flavor of frozen yogurt and one topping. There are 8 possible ways to order the fro gurt. How many flavors and toppings could the customers choose from? 4 flavors and 3 toppings 2 flavors and 4 toppings 2 flavors and 2 toppings 4 flavors and 4 toppings
Answers
NEED HELP!! what are the coordinates of point j?
Answers
Answer:
(7,4)
Step-by-step explanation:
The graph below shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix for each ounce of peanuts? A.1/2 B.2/3 C.3/4 D.3/2 please i need answers !!!!
Answers
Answer:
Option (B)
Step-by-step explanation:
Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,
P ∝ C
P = kC
k = [tex]\frac{P}{C}[/tex]
Here k = proportionality constant
Since, the given line passes through a point (3, 2),
k = [tex]\frac{2}{3}[/tex]
Therefore, ratio of chocolate and peanuts mixed is [tex]\frac{2}{3}[/tex].
Option (B) is the correct option.
9 + y = 6 I NEED HELP ASAP
5
Answers
Answer:
y=-3
Step-by-step explanation:
Answer:
The answer to this question is -3.
Step-by-step explanation:
9 + y = 6
-9 -9
y = -3
Anyone want to help me with this? I will mark brainliest and thanks
Answers
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up Equation
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
Step 2: Solve for x
Combine like terms: -15x + 60 = 180Isolate x term: -15x = 120Isolate x: x = -8Step 3: Find m∠BDC
Define: m∠BDC = (-7x + 12)°Substitute in x: m∠BDC = (-7(-8) + 12)°Multiply: m∠BDC = (56 + 12)°Add: m∠BDC = 68°Which if the following is the factored form of x² + 12x - 32
(A) (x - 8) (x + 4)
(B) (X + 8) (x + 4)
(C) Prime
(D) (X + 8) (x-4)
Answers
Answer:
C) Prime
Step-by-step explanation:
x^2+12x-32
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -32,
when you add them,
you get the second term, which is 12.
Solve -2a - 5>3
Which graph shows the solutions?
Answers
-4>3
Step-by-step explanation:
Answer:
First line
Step-by-step explanation:
Isolating 2a is the first step, so adding 5 to each side. That leaves -2a > 8. Divide both sides by -2, and because it's a negative, you flip the sign. so you get a < -4
At Leslie's school, the ratio of boys to girls is 11 to 12. At Mark's school, the ratio of boys to girls is 41 to 48. If both schools have the same total
number of students, which statement about the number of boys at Mark's and Leslie's schools is true?
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
There are more have at lectia's chinoithan at Marvis erhont harnuce the ratio 11 to 17 i nreater than the ratin 41 m GR
Copyright 2020 illuminate Education, Inc. All Rights R
TI
INTL
САД
Answers
Answer:
ITS A
Step-by-step explanation:
There are 13 guests at Morgan's party. If each guest will be served exactly \tfrac{4}{5} 5 4 pint of ice cream, how many pints of ice cream will she need? Express your answer in simplest form.
Answers
Multiply number pf people by amount they are having:
13 people x 4/5 pint = (13 x 4)/5 = 52/5 = 10 2/5 pints.
They need 10 2/5 pints total. ( Simplest form)
Since you can't buy a fraction of a pint, they would actually need to buy 11 pints
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 99.7% of customers have to wait.
Answers
Answer:
burger
Step-by-step explanation:
fSFFSFS
In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.
Answers
11 x 1.5 = 16.5
you would need 16.5 cups of dried fruit
A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from $70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $100?
MIDDLE SCHOOL QUESTION
Answers
Explanation: 49 is 70 percent of 70, which means the price was reduced 30%. If we reduce $100 by 30%, we get 70
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50
Answers
Answer:
0.41 x < 3.40 < 0.50 x
If there is a whole number of pounds it could be: x = 8 pounds
0.41 * 8 = 3.28, 0.50 * 8 = 4
3.28 < 3.40 < 4
Answer:
Inequality is
0.41 x < 3.40 < 0.50 x
Step-by-step explanation:
Write an equation of the line passing through the points (4,15) and (-1, 15)
Answers
Y = 0x + b
15 = 0(4) + b, b = 15
Equation: y = 0x + 15
Or... y = 15
Jimmy wants a burger. It is $30 but he has a coupon for 10% off. How much does he spend?
Answers
PLEASE HELP IM TIMED!
Answers
Answer:
B
Step-by-step explanation:
Mrs. Cervantes wants to paint her windmill. It has six sides, each of which is 3.5 feet wide by 11 feet tall. How many square feet does she need to paint?
Answers
Answer:
231 ft²
Step-by-step explanation:
Given that :
Dimension of each side = 3.5 feets by 11 feets
Area of each side :
Length * width = (3.5 * 11) feets = 38.5 ft²
Number of sides = 6
Hence, number of square feets to paint :
Number of sides * area of each side :
6 * 38.5 ft²
= 231 ft²
Which is the BEST estimate of the average rate of change for the function graphed, over the interval 1 sxs 3?
es)
A)
-2
B)
-3
D)
-6
Answers
Answer: -3
Step-by-step explanation: just multiply
The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
The interval given is 1 ≤ x ≤ 3.
The graph of the function is given below.
It can be clearly seen that,
The y value corresponding to x = 1 is y = f(1) = 2.
So one point on the graph is (1, 2).
The y value corresponding to x = 3 is y = f(3) = 8.
So the other point on the graph is (3, 8).
Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]
= [8 - 2] / [2]
= 6/2
= 3
Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.
Learn more about Average Rate of Change here :
https://brainly.com/question/23715190
#SPJ7
a copy machine can print 810 copies every 9 minutes. A laser printer printed 1,350 copies. How long did it take to print?
Answers
Answer:
15
Step-by-step explanation: You would think 15. 810 copies every 9, minutes. Nine divided by 810 equals 90. 90 copies every minute. 1,350 divided by 90 is fifteen. =fifteen.
x = 15 minutes
alex took a cab in new york city . the cabdriver charged $3.00 to ride in his cab and $1.50 per mile that he rode in the cab . if he spend $12 , how many did he ride in the cab ?
Answers
Answer
8 miles
Step-by-step explanation:
12 divided by 1.50 = 8
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 130°. Find m∠Y.
Answers
Please help pass my final :(
Answers
Answer:
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
Step-by-step explanation:
Given
∠1 = 70°
To determine
We need to determine angle ∠5
From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.
We know that when two lines are parallel, their corresponding angles are equal.As angle ∠5 is the corresponding angle of angle ∠1 = 70°.
Also, the corresponding angles are equal here.Therefore,
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
graph the function in the image
Answers
Answer:
The slope is 1.
Step-by-step explanation:
Any time you see x by itself, imagine there is a one behind it.