Solve the following system.
y + 4z = -14
x + 3z = -8
2x-3y=8
Please actually help and don’t just answer with “idk” for points
Answers
Answer:
[tex]y=-2,\:\\x=1,\:\\z=-3[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y+4z=-14\\ x+3z=-8\\ 2x-3y=8\end{bmatrix}\\\\Isolate\:y\:for\:y+4z =-14\: : \:y=-14-4z\\\\\mathrm{Subsititute\:}y=-14-4z\\\\\begin{bmatrix}x+3z=-8\\ 2x-3\left(-14-4z\right)=8\end{bmatrix}\\\\Isolate\:x\:for\:x+3z =-8\: :\:x =-8-3z\\\mathrm{Subsititute\:}x=-8-3z\\\\\begin{bmatrix}2\left(-8-3z\right)-3\left(-14-4z\right)=8\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}6z+26=8\end{bmatrix}\\\\Isolate\:z\:for 6z+26=8 \: ;\:z =-3\\\\\mathrm{For\:}x=-8-3z\\\\[/tex]
[tex]\mathrm{Subsititute\:}z=-3\\\\x=-8-3\left(-3\right)\\\\-8-3\left(-3\right)=1\\\\x=1\\\\\mathrm{For\:}y=-14-4z\\\\\mathrm{Subsititute\:}x=1,\:z=-3\\\\y=-14-4\left(-3\right)\\\\-14-4\left(-3\right)=-2\\\\y=-2\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=-2,\:x=1,\:z=-3[/tex]
Related Questions
I need help ASAP PLZZZ!!!!
Answers
Answer:
slope is -2/5
y-intercept is 4
Answer:
See Below
Step-by-step explanation:
Ok, so slope intercept form is:
y = mx +b
Where m = slope and b = your y-intercept
lets line them up
y = mx + b
y =-2/5 x + 4
Notice that the m and b are lined up each corresponding #.
Therefore,
m = -2/5
B = 4
Slope = -2/5
y - intercept = 4
2(5n+1???????????????!!!!!!
Answers
Answer:
10n+2
Step-by-step explanation:
Distributive property, 2(5n)+2(1)=10n+2
Answer:
The answer is 10n+2
6000 divided by 30 simplified what is it
Answers
Answer:
200
Step-by-step explanation:
6,000 divided by 30 is 200
Answer:
200
Step-by-step explanation:
6000 / 30
= 600 / 3
= 200
write an expression for the area of the following quadrilateral with the fewest terms. all sides are congruent. ALSO PLEASE SHOW ME HOW YOU GOT IT
Answers
Explanation: All sides are congruent which means they are equal. This means that you can just multiply the amount of sides to the length of one side.
Hope this helps! :)
what’s 40/44 in lowest terms
Answers
Answer:10/11
Step-by-step explanation:i think you mean in simpilest terms so here is that! hope this helped:)
Describe conformity in a simple way the meaning of it.
Answers
Answer:
Step-by-step explanation:Conformity is the most general concept and refers to any change in behavior caused by another person or group; the individual acted in some way because of influence from others
Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $3 goes towards your trip. You hope to earn at least $150 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your goal.
Answers
Answer:
x > 50
Step-by-step explanation:
Let
x = number of bags of popcorns to sell
Price of each bag of popcorn = $3
You hope to earn at least $150 for the trip.
At least in inequality = >
The inequality is
Price × quantity of popcorns to sell > 150
3x > 150
Divide both sides by 3
x > 150 / 3
x > 50
The sales of a certain product after an initial release can be found by the equation s=10√5t+15 where s represents the total sales (in thousands) and t represents the time in weeks after release. about $78 about $415,000 about $78,000 about $415
Answers
Answer:
About $78
Step-by-step explanation:
The company is not complete. The question is to estimate the sales 8 weeks after release. To do that, we will substitute t = 8 into the modeled function s=10√5t+15
s = 10√5(8) + 15
s = 10√40 + 15
s =10(6.32)+15
s = 63.2+15
s = 78.2
Hence the sales after 8weeks is about $78.
Please Help Me =(
Let f(x) = –7x + 9. Suppose you add 2 to the input of f to create a new function g, then multiply the output of function g by –3 to create function h. What are the slope and y-intercept of the graph of function h?
slope = ?
y-intercept = ?
Answers
Answer:
Im pretty sure slope is 21 and y intercept is 15
The slope is 21 and the y-intercept is -33 of the graph of function h.
What is a Linear Function?A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
It represents the line's slope-intercept form, which is written as y = mx+ c.
The function is given in the question below as
f(x) = –7x + 9
⇒ f(x) = –7x + 9
Add 2 to the input of f to create a new function g,
⇒ g(x) = –7x + 9 + 2
⇒ g(x) = –7x + 11
Now, multiply the output of function g by –3 to create function h.
⇒ h(x) = (–7x + 11) × -3
⇒ h(x) = 21x - 33
Compare to the line's slope-intercept form,
Therefore, slope = 21 and y-intercept = -33
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
What is the equation of a line that passes through (-5, 0) and (4,18) in slope-intercept form?
Answers
Answer:
Step-by-step explanation:put (-5,0) on top and (4,18) on the bottom subtract the two and you will get the answer
What is the Product?
Answers
Answer:
-108
pls mark me brainlest :(
Step-by-step explanation:
Answer:
-108
Step-by-step explanation:
Solve the following proportion using the multiplication property of equality.
2/35=h/60
h=____ (Type as a interger or simplified fraction)
Answers
Can you help me find the values of x and z?
Answers
Answer:
x = 96
z = 25
Step-by-step explanation:
x and 84 are supplementary angles.
this means that they add together to make 180.
using this, you can make the following equation:
x + 84 = 180
subtract 84 from both sides of the equation
x + 84 - 84 = 180 - 84
x = 180 - 84
x = 96
84 and 3z + 9 are vertical angles
vertical angles are equal.
using this, you can make the following equation:
84 = 3z + 9
subtract 9 from both sides of the equation
84 - 9 = 3z
75 = 3z
divide both sides of the equation by 3
75/3 = 3z/3
25 = z
[tex] \frac{7}{10} \times \frac{3}{7} [/tex]
cuánto es?
Answers
Answer:
thats the answer
Please help
Rewrite the product as a power: x^5x^8
Answers
Answer:
[tex]x^{13}[/tex]
Step-by-step explanation:
1/5 + 2/3
9/13 - 5/13
1/4 + 1/2
2/9 + 5/6
11/12 - 4/6
8/3 + 2/4
4/5 + 6/30
Answers
Answer:
1. 13/15
2. 4/13
3. 3/4
4. 1 1/18
5. 1/4
6. 3 1/6
7. 1
Step-by-step explanation:
i will use the last one as an example, first reduce, so you would find the common denominator, in this case its 6, so you simplify 6/30 to 1/5. then you have 4/5+1/5, so since u have the same denominator, you can add the two numerators above the common denominator, so it would look like 4+1/5. then add the numbers. so you are left with 5/5 which in other words is 1. i hope this helps!
answers look at the photo, hope it helps
Given: AB = CDProve: AC = BD
Answers
Answer:
it would be helpful if there was a diagram but ill write a proof below of how I would solve a problem. however, it may not be what ur looking for as the question is unclear
1) AB=CD - given
2) BC = BC - reflexive
3) AB+BC=CD+BC- addition property of equality
4)AC= BD - substitution
Lily has
x
x nickels and
y
y dimes. She has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.
Answers
Answer:
Y would = 34
Step-by-step explanation:
that's what i got on edge and it was right
HELP NOW PLEASE PLEASAE PLEASE
James has 875 feet of rope. There are 19 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
Each team will receive ___feet of rope.
Answers
i need help with this asap!homework is due tomorrow.
Answers
Answer:
If triangle ABC is a right angled triangle,right angled at C
AB²=AC² + BC²
Pls mark me brainliest
Step-by-step explanation:
Evaluate the following algebraic expression
Answers
Answer:
Step-by-step explanation:
13-5=8
8*8=64
Answer:
(13−5)2
=8*8
=64
Step-by-step explanation:
My tutor was no help !!! Help me please!!!!
Answers
so safe to assume 1in represents 4mm.
1in = 4mm
The equation to find the length is:
1.5in = x mm
if we know that 1in is 4mm, 0.5in is 2 mm. So the answer is:
1.5in = 6mm.
The equation to find the width is:
0.75in = x mm
0.75 is 3/4, and 1in = 4mm, so 3/4 of 4 is 3. Therefore,
0.75in = 3 mm
Finally, the answer is:
Length = 6mm
Width = 3mm
please Solve
3(2x - 5) = 27
Answers
Answer: x=7
Step-by-step explanation: 6x-15=27
6x=42
x=7
Balance the equation with the correct coefficients.
3
4
5
N
KCIO3 →
KCI +
O2
Answers
Answer:
2KClO3 → 2KCl + 3O2
What exactly do I do...
Answers
Answer:
Step-by-step explanation:
So first you want to number your graph
The first number you want to graph is the first one on the x line, If you numbered in ones it should be 4 to the left from the center
Next graph the 2nd number on the y line, draw a line and connect the -4 and the 7
Answer:
7.9 units
Step-by-step explanation:
You are required to find the distance between the points P and Q whose coordinates are given:
P (0, 0), Q(-4, 7)
[tex] QP= \sqrt{ {( - 4 - 0)}^{2} + ( {7 - 0})^{2} } \\ \\ = \sqrt{( - 4) ^{2} + {(7)}^{2} } \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{63} \\ \\ = 7.93725393 \\ \\ = 7.9 \: units[/tex]
2.
Consider the following graph and rotate point P 90° counterclockwise
around two points: the origin and (-2,4). Sketch both points on the
graph.
Answers
Answer:
[tex]P: (-2,4)[/tex]
[tex]P' : (-4,-2)[/tex]
Step-by-step explanation:
Given
[tex]P: (-2,4)[/tex]
Required
Rotate 90 degrees counterclockwise
Show both points on graph
[tex]P: (-2,4)[/tex]
When a point is rotated counterclockwise by 90 degrees, the new point is:
[tex]P':(-y,x)[/tex]
In
[tex]P: (-2,4)[/tex]
[tex]x = -2[/tex]
[tex]y = 4[/tex]
Hence:
[tex]P':(-y,x)[/tex]
[tex]P' : (-4,-2)[/tex]
See attachment for graph
6x+3y=12 solve for y
Answers
Answer:
Y= -2x+4
Step-by-step explanation:
Please help
...................
Answers
Answer:
It is the third one!
Step-by-step explanation:
PLS help!!!! I am super confused and I have a test soon.
Answers
Question 4 - Yes by AA (pretty confident)
which segments in the picture are parallel ad and ab, be and gh, bc and hf, hf and de
Answers
Answer:
HF and DE
Step-by-step explanation:
Answer:
hf and de
Step-by-step explanation: