Answers
Answer:
x = -2, y = -6
Step-by-step explanation:
(8x - 3y) + (-8x - 5y) = 2 + 46
-8y = 48
y = -6
8x - 3y = 2
8x - 3(6) = 2
8x + 18 = 2
8x = -16
x = -2
Answer:
[tex]\boxed { \sf (-2, -6) }}[/tex]
Step-by-step explanation:
We are asked to find the solution of the system of equations.
[tex]8x-3y=2\\-8x-5y=46[/tex]
When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.
The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.
[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]
8x and -8x cancel, then add.
[tex](-3y=2)\\+ (-5y=46)[/tex]
___________
[tex]-8y= 48[/tex]
We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.
[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]
Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.
I chose the first equation.
[tex]8x-3y=2[/tex]
[tex]8x-3(-6)=2[/tex]
[tex]8x+18=2[/tex]
Subtract 18 from both sides to isolate 8x.
[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]
Divide both sides by 8.
[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]
Coordinate points are written as (x,y) so our solution is (-2, -6)
Related Questions
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
A -5/3
B 3/5
C -1
D 1
Answers
Answer:
-1
Step-by-step explanation:
Use the Distributive Property to
simplify the following:
7(y + 3) =
Answers
Answer:
7y+21
Step-by-step explanation: i solve it hope this help.
Answer:
[tex]\bold{7y+21}[/tex]
Step-by-step explanation:
Hi there!
Let's solve this math problem by using the Distributive Property.
All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):
[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]Hope it helps! Enjoy your day!
~ Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Aubree is making different shades of pink paint to use for an art project. A batch of dark pink uses 2.5 cups of red paint and 1.5 cups of white paint. A batch of light pink uses 0.75 cup of red paint with 1.25 cups of white paint. She begins with a gallon of red and a gallon of white paint. How much of each color paint will she have left if she makes a batch of dark pink and light pink every day for a week?
Answers
Answer:
Cups of red paint for a batch of dark pink - 2.5
Number of gallons of red paint that she starts with - 1
Cups of red paint for a batch of light pink - i did not get that one
Step-by-step explanation:
Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?
Answers
Answer:
1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51
Answers
Answer:
A. 49
Step-by-step explanation:
ratio of houses is 3 new to 7 old
21 new is 7 times more than 3, so 7 will also be 7 times more
so, 21 to 49
I hope that made sense
The ratio of roses to tulips is 2:3. What percent of the flowers are roses?
Answers
Answer:
40%
Step-by-step explanation:
Roses are 2/(2+3) = 2/5 = 2/5×100% = 40% of the total.
Can someone please help me?
75 POINTS
Answers
Answer:
1. 8
2. 4
3. 5
4. 8/125
5. 4/3
6. 6
7. 8
8. 2
Step-by-step explanation:
This is true believe me I checked each one :)
sum of all positive integers up to 1000
Answers
Step-by-step explanation:
995. Therefore, the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2 is 50000.
help me i need help!!!!!!!!!
Answers
Answer:
y=88
Step-by-step explanation:
Angles in a triangle equal 180
45 + 47 = 92
180 - 92 = 88
Answer:
88
Step-by-step explanation:
The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.
Need only #6 done (Show work) will give brainliest
Answers
Answer:
See belowStep-by-step explanation:
Statements | Reasons
C is the midpoint of AB | Given
AC = 2x + 1 | Given
CB = 3x - 4 | Given
AC = CB | Definition of midpoint
2x + 1 = 3x - 4 | Substitution property
3x - 2x = 1 + 4 | Addition property of equality
x = 5 | Proved
The line is as below:
A-----------------C----------------B
2x + 1 3x - 4
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answers
Answer:
answer-8 Inches.
Step-by-step explanation:
Area of triangle=160 square inches
Base of triangle=40 inches
area of triangle=1/2*base*height160=1/2×40×height
160 =20×height
160/20=height
height=80 inches.
20) Joan bought a soft drink for 2 dollars and 8 candy bars. She spent a total of 34 dollars. How much did each candy bar
cost?
Answers
Answer:
the answer is$4
Step-by-step explanation:
he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars
Find the length x. Round to the nearest tenth.
A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6
Answers
Answer:
A
Step-by-step explanation:
Mark brainliest please
can someone give me the answer no explaining
Answers
Answer:
Greater than
Step-by-step explanation:
Answer:
5/3 is greater
Step-by-step explanation:
how can u calculate 23x4 if the 4 buton is broken?
Answers
Answer:
23x2x2
Step-by-step explanation:
What is the equation of the parabola? If correct will award brainliest, scam answers will be reported!
Answers
Answer:
Equation of parabola: y = a(x-h)2 + k or x = a(y-k)2 +h, but the simple version is y2 = 4ax.
Step-by-step explanation:
write an equation in
Slope-int form
m=9, b=4
Answers
You just plug in the numbers into y=mx+b
plsss help!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
1. C ≈ 43.9823
2. C ≈ 37.6991
Step-by-step explanation: c=2π · r
the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides
Answers
Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.
Would appreciate brainly <3
4.
What property could you use to show that these two triangles are congruent?
Two triangles
HL
SSS
SAS
ASA
Answers
Answer:
All four
Step-by-step explanation:
SSS, SAS, ASA, and HL
You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (ℎ) of the lamppost?
Answers
Simplify. 54+4(3/4−1/2)2
Answers
Answer:
56
Step-by-step explanation:
54 + 4(3/4 − 1/2)2
=> 54 + 4(1/4)2
=> 54 + (1)2
=> 54 + 2
=> 56
Therefore, 56 is our answer.
Hoped this helped.
In the figure, m<2=64. What is the measure of <1?
Answers
Answer:
b
Step-by-step explanation:
I had that question before
Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).
Answers
(-13, -6), (7, 15) = 1.05
Equation: y = 1.05x + 7.65.
The entered points belong to an increasing, linear function.
Answer:
m = rise / run = 21/20, or m = 1.05
Step-by-step explanation:
If the lines are parallel, their slopes are identical. So we can find the slope of line 1 and know that it's also the slope of line 2.
From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7. Thus, the "run" in m = rise / run is 20. Likewise, the "rise" is 21.
Thus the slope in question is m = rise / run = 21/20
Annie's math test had 25 questions. She got 84% correct. How many problems did she get wrong?
Answers
Last year there were 20 girls on the volleyball team. This year the number of girls DECREASED by 10%. How many girls are on the volleyball team this year
Answers
Answer:
18
Step-by-step explanation:
There are 18 girls on the team this year.
If you take 20 and divide the number by 10 you will get 2.
10%=2
If you multiply 2x10 you get 20.
20-2=18
if f(x)=3x+7, find: f(-2)= [?]
Answers
Answer:
1
Step-by-step explanation:
substitute -2 for x
3(-2) + 7
-6 + 7
1
hope it helps :)
mark brainliest!!
How do you know if a situation represents
a proportional relationship?
Answers
Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.
Answers
An inverse of a graph is reflected over y=x
46 pts to first correct and brainliest. Help ASAP PLZ. GOD BLESS YOU
Answers
Answer:
a^4
Step-by-step explanation:
First evaluate the quantity inside the parentheses: (a^(-3)).
Then raise this result to the power -1:
(a^(-3))^(-1) = a^4
Answer:
a^3
Step-by-step explanation:
1/a^-1 a^-2
a^-1a^-2= a^-3
1/a^-3
1/1/a^3
a^3/1
a^3