Answer:
1) x = 3 and y = -2
2) x = 2 and y = 1
3) x = -2 and y = -1
4) x = 3 and y = 2
5) x = 2
6) x = 2 and y = -3
7) x = 4 and y = 3
8) x = -3 and y = -6
Step-by-step explanation:
1. Answer :
y = -2
4x - 3y = 18 ----(1)
Substitute y = -2 in (1).
4x - 3(-2) = 18
4x + 6 = 18
Subtract 6 from both sides.
4x = 12
Divide both sides by 4.
x = 3
So,
x = 3 and y = -2
2. Answer :
y = 6x - 11 ----(1)
2x + 3y = 7 ----(2)
Substitute y = 6x - 11 in (2).
2x + 3(6x - 11) = 7
2x + 18x - 33 = 7
20x - 33 = 7
Add 33 to both sides.
20x = 40
Divide both sides by 20.
x = 2
Substitute x = 2 in (1).
y = 6(2) - 11
= 12 - 11
= 1
So,
x = 2 and y = 1
3. Answer :
x = -3y - 5 ----(1)
4x - 5y = -3 ----(2)
Substitute x = -3y + 5 in (2).
4(-3y - 5) - 5y = -3
-12y - 20 - 5y = -3
-17y - 20 = -3
Add 20 to both sides.
17y = -17
Divide both sides by 17.
y = -1
Substitute y = -1 in (1).
x = -3(-1) - 5
= 3 - 5
= -2
So,
x = -2 and y = -1
4. Answer :
x = 5y - 7 ----(1)
-2x - 3y = -12 ----(2)
Substitute x = 5y - 7 in (2).
-2(5y - 7) - 3y = -12
-10y + 14 - 3y = -12
-13y + 14 = -12
Subtract 14 from both sides.
-13y = -26
Divide both sides by -13.
y = 2
Substitute y = 2 in (1).
x = 5(2) - 7
= 10 - 7
= 3
So,
x = 3 and y = 2
5. Answer :
5x + 3y - 8 = 0 ----(1)
2x - 3y - 6 = 0 ----(2)
Solve for 3y in (1).
5x + 3y - 8 = 0
Subtract 5x from both sides.
3y - 8 = -5x
Add 8 to both sides.
3y = -5x + 8
Substitute 3y = -5x + 8 in (2).
2x - (-5x + 8) - 6 = 0
2x + 5x - 8 - 6 = 0
7x - 14 = 0
Add 14 to both sides.
7x = 14
Divide both sides by 7.
x = 2
6. Answer :
x - 3y - 11 = 0 ----(1)
5x + y - 7 = 0 ----(2)
Solve for x in (1).
x - 3y - 11 = 0
Subtract 3y and 11 to both sides.
x = 3y + 11 ----(3)
Substitute x = 3y + 11 in (2).
5(3y + 11) + y - 7 = 0
15y + 55 + y - 7 = 0
16y + 48 = 0
Subtract 48 from both sides.
16y = -48
Divide both sides by 16.
y = -3
Substitute y = -3 in (3).
x = 3(-3) + 11
= -9 + 11
= 2
So,
x = 2 and y = -3
7. Answer :
2x - 3y = -1 ----(1)
y = x - 1 ----(2)
Substitute y = x - 1 in (1).
2x - 3(x - 1) = -1
2x - 3x + 3 = -1
-x + 3 = -1
Subtract 3 from both sides.
-x = -4
Multiply both sides by -1.
x = 4
Substitute x = x in (3).
y = 4 - 1
= 3
So,
x = 4 and y = 3
8. Answer :
-4x + y = 6 ----(1)
-5x - y = 21 ----(2)
Solve for y in (1).
-4x + y = 6
Add 4x to both sides.
y = 4x + 6 ----(3)
Substitute y = 4x + 6 in (2).
-5x - (4x + 6) = 21
-5x - 4x - 6 = 21
-9x - 6 = 21
Add 6 to both sides.
-9x = 27
Divide both sides by -9.
x = -3
Substitute x = -3 in (3).
y = 4(-3) + 6
= -12 + 6
= -6
So,
x = -3 and y = -6
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Thank You!
Answered by: ms115
Answer:
See below for all answers and explanations
Step-by-step explanation:
Problem 1
4x - 3y = 18
4x - 3(-2) = 18 <-- Substituting y = -2
4x + 6 = 18
4x = 12
x = 3
Problem 2
2x + 3y = 7
2x + 3(6x-11) = 7 <-- Substituting y = 6x - 11
2x + 18x - 33 = 7
20x - 33 = 7
20x = 40
x = 2
y = 6x - 11 <-- Substituting x=2 to solve for y
y = 6(2) - 11
y = 12 - 11
y = 1
Problem 3
4x - 5y = -3
4(-3y-5) - 5y = -3 <-- Substituting x = -3y - 5
-12y - 20 - 5y = -3
-17y - 20 = -3
-17y = 17
y = -1
x = -3y - 5 <-- Substituting y = -1 to solve for x
x = -3(-1) - 5
x = 3 - 5
x = -2
Problem 4
-2x - 3y = -12
-2(5y-7) - 3y = -12 <-- Substituting x = 5y - 7
-10y + 14 - 3y = -12
-13y + 14 = -12
-13y = -26
y = 2
x = 5y - 7 <-- Substituting y=2 to solve for x
x = 5(2) - 7
x = 10 - 7
x = 3
Problem 5
5x - 3y - 8 = 2x - 3y - 6 <-- Setting equations equal to each other
5x - 8 = 2x - 6 <-- Eliminating y-variable to solve for x
3x - 8 = -6
3x = 2
x = 2/3
5x - 3y - 8 = 0 <-- Substituting x = 2/3 into first equation
5(2/3) - 3y - 8 = 0
10/3 - 3y - 8 = 0
10/3 - 3y - 24/3 = 0
-14/3 - 3y = 0
-3y = 14/3
y = -14/9
Problem 6
x - 3y - 11 = 0 <-- Solve for x
x - 3y = 11
x = 11 + 3y
5x + y - 7 = 0
5(11+3y) + y - 7 = 0 <-- Substituting x = 11 + 3y
55 + 15y + y - 7 = 0
55 + 16y - 7 = 0
48 + 16y = 0
16y = -48
y = -3
x = 11 + 3y <-- Substitute y=-3 into first equation to solve for x
x = 11 + 3(-3)
x = 11 - 9
x = 2
Problem 7
2x - 3y = - 1
2x - 3(x-1) = -1 <-- Substituting y = x - 1
2x - 3x + 3 = -1
-x + 3 = -1
-x = -4
x = 4
y = x - 1 <-- Substitute x=4 to solve for y
y = 4 - 1
y = 3
Problem 8
-4x + y = 6 <-- Solve for y in first equation
y = 6 + 4x
-5x - y = 21
-5x - (6+4x) = 21 <-- Substituting y = 6 + 4x
-5x - 6 - 4x = 21
-9x - 6 = 21
-9x = 27
x = -3
y = 6 + 4x <-- Substitute x = -3 to solve for y
y = 6 + 4(-3)
y = 6 - 12
y = -6
does 1\2 = 2\3 or would it 1\2 ≤ 2\3
Answer:
1/2 < 2/3
Step-by-step explanation:
1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form
1/2 < 2/3
*Watch image for better understanding
Blue portion is 1/2
Red portion is 2/3
so, obviously red portion is bigger than blue one.
Christopher has a collection of 20 video games and will buy 4 more each month. Peter has a collection of 92 video games and will sell 5 each month. After how many months will they have the same number of video games? How many will that be?
Answer:
20 + 4 = m 92 - 5 = m
Step-by-step explanation:
due the the fact that theres no number for how meny months there are
someone please help me!
Answer:
x = 14
Step-by-step explanation:
All angles add up to 180
2x - 5 + 3x - 8 + 10x - 17 = 180
Combine like terms and solve
x = 14
PLEASE HELP ASAP
How much did the borrower pay for county taxes?
O A. $500.00
O B. $605.36
O C. $1,000.00
O D. $1,210.72
Taxes are rates or amount deducted from individuals.
The borrower paid $605.36 for county taxes
How to determine the amount paidFrom the table, we have the following entry:
County taxes (half year) (6) $605.36
The above represents the amount paid for county taxes
Hence, the borrower paid $605.36 for county taxes
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Answer:
$605.36
$605.36
$605.36
$605.36
$605.36
$605.36
How does Kyle split 15 candys bar with 30 people
Answer:
Each person gets 1/2 a candy bar
Step-by-step explanation:
Since 30 people are going to share 15 candy bars. We can split up the candy bars to ensure everyone gets an equal piece. We do so by putting 15/30 as a fraction, which is equivalent to 1/2.
Solve each simple interest word problem 11) A new car volued at $28.000, depreciates of 9% per year. What is the value of the car one year after purchase?
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &1 \end{cases} \\\\\\ A=28000(1-0.09)^1\implies A=28000(0.91)\implies A=25480[/tex]
Answer:
$25,480
Step-by-step explanation:
In one year, the car depreciates by 9% of its original value:
0.09 × $28,000 = $2520 . . . . amount of depreciation
The value at the end of one year is ...
$28,000 -2,520 = $25,480
The value one year after purchase is $25,480.
Brainliest if correct
Answer:
W is 9
Step-by-step explanation:
18+4w=6w
-4w-4w
18=2w
/2 /2
w=9
Answer:
w = 9
Step-by-step explanation:
18+4w=6w
Rearrange terms
4w + 18 = 6w
Subtract 18 from both sides of the equation
4w+18-18=6w-18
Simplify
4w = 6w-18
Subtract 6w from both sides of the equation
4w-6w=6w-18-6w
Simplify
-2w=-18
Divide both sides of the equation by the same term
-2w/-2=-18/-2
w = 9
[RevyBreeze]
The ratio of students who made
the honor roll to the total number
of students is 1:50) If there are
500 students in total, how many
made the honor roll?
Answer:
10
Step-by-step explanation:
1 out of 50 got it, so 500/50=10
Answer:
10 students
Step-by-step explanation:
if the ratio is 1:50 and there are 500 kids then you multiply the 50 by 10 to make it 500 then you also multiply the 1 by to so only 10 kids made honor roll
PLS HELP!!!! I don't understand how to answer this question!!!
Answer:
34
Step-by-step explanation:
Angle A and B are complementary which means they both add up to 90 degrees. Angle A is x+22 while angle B is only x. If we add both together, we can call angle A+B to be 2x+22. We can rewrite this as 2x+22=90. Take the 22 over to the other side and its sign changes so it is now 2x=90-22. 90-22=68 so now we have 2x=68. To isolate the x divide both sides by 2 which gives us x=34.
Juanita has $25, and she makes $11 per hour. She needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Juanita must work to be able to buy new shoes. Then interpret the solution.
Answer:
Juanita must work 3 hours and above to be able to buy new shoes.
Step-by-step explanation:
Initially, Juanita has $25 and make $11 per hour
meaning, Juanita's new cash in hand after t hours is;
[tex]\tt C=25+11t[/tex]
Juanita needs at least $58 to buy new shoes;
meaning, the minimum cash Juanita should have should be $58 and above.
Simply put,
[tex]\tt C\geq 58[/tex]
[tex]---> \tt 25+11t\geq 58[/tex]
[tex]\tt --->11t\geq 58-25[/tex]
[tex]---> \tt 11t\geq 33[/tex]
[tex]----> \tt t\geq \frac{33}{11}[/tex]
[tex]---> \tt t>3[/tex]
The solution reveals that Juanita must work 3 hours and above to be able to buy new shoes.
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-Nature-
which variable is ordinal?
Answer:
Categorical variable
Step-by-step explanation:
An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.
(10 points) Chip made his eggnog recipe which was 12% sugar, but it was not sweet enough for Dale. Dale made his recipe which was 20% sugar, but it was too sweet for Chip. How much of each eggnog do they need to mix to get 80 oz. of eggnog which has15% sugar concentration?
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:
x + y = 80 (1)
Also:
0.12x + 0.2y = 0.15(80) (2)
From both equations:
x = 50, y = 30
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
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Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
3.1721 x 10⁻⁷
Write this in standard notion
A basketball team lost 10% of the games they played. They played 30 games in all. How many games did they win?
Answer:
They won 27 games
Step-by-step explanation:
10% of 30 is 3,
so 30-3= 27
There is something that, although it belongs to you, people always use it more than you. What is it?
Answer:
Your name is the answer to the riddle.
h + 169 = 759 solve for h
Answer:
h = 590
Step-by-step explanation:
To find x, rearrange the equation to where h is on its own side.
Rearranged equation:
[tex]759 - 169 = h[/tex]
Since 169 added to h was to find 769, 169 subtracted from 759 represents h.
Solve:
[tex]759 - 169 = 590[/tex]
590 = h.
factorise 18x-6
will give brainly to whoever answers first
Answer:
6(3x-1)
Step-by-step explanation:
They both have a common factor of 6
So divide 6 and take it out to give:
6(3x-1)
A chocolate chip cookie recipe ask for one and one half times as much flour as chocolate chips. If three and three quarters cups of flour is used what quantity of chocolate chips would then be needed according to the recipe?
hahahahahahahhahahahahah
Find the height of an equilateral triangle of side 6 cm
Answer:
Answer: The height of the given equilateral triangle is 3√3 cm.
Help me plzzzz
I need to turn this in plz help me
Answer:
75 miles
Step-by-step explanation:
Answer:
75 miles
Step-by-step explanation:
20 miles = 1 gallon of gas
3 3/4 = 15/4
12/4 = 3 = 3 x 20 = 60 miles
3/4 of 20 = 15 miles
60 + 15 = 75 miles
Give the scale factor from figure A to figure B. Use / for fractions.
IMAGE ATTACHED 50points
Answer: 2 kg
Step-by-step explanation:
The modal, or the mode, is the number that occurs most. 2 shows up three times, so 2 is the modal weight.
-----------------------------
Have a good day! I hope this was helpful.
can yall please help me
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{12}[/tex]
When you have a fraction divide a number, you need to multiple it's reciprocal
Answer: 1/12
Step-by-step explanation:
1/3 x 1/4= 1/12
4/1 is flipped when switching from division ton multiplication
100kg of potatoes are given to 100 people. Each adult gets 3kg, each teenager gets 2kg and each small child gets 0.5kg. How many adults and teenagers and small children were there?
Answer:
there are 18 Adults 18 Teenagers and 20 small children
Kala is riding her bike. She rides at a speed of 13 kilometers per hour for 32.5 kilometers. How many hours does she ride?
Answer:
32.5/13=time=2.5h
Time=distance /speed
15b^(9/5) + 9b^(4/5)
Factor completely.
Answer:
3b^(4/5) * (5b + 3)
Step-by-step explanation:
Factor:
[tex]15b^{9/5} + 9b^{4/5}[/tex]Take out the factor 3b^4/5
[tex]3b^{4/5}(5b) + 3b^{4/5}(3)[/tex][tex]3b^{4/5}(5b + 3)[/tex]-Chetan K
Find the value of x.
Answer:
x= 96
Step-by-step explanation:
an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.
-4.56 × 10-3 in standard form.
Answer:
-48.6
Step-by-step explanation:
Find the odds of an event occurring, given the probability 1/2