Answers
Answer:
x=−2
y=−4
Step-by-step explanation:
−2x+2y=−4
3x+3y=−18
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
−2x+2y=−4,3x+3y=−18
To make −2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −2.
3(−2)x+3×2y=3(−4),−2×3x−2×3y=−2(−18)
Simplify.
−6x+6y=−12,−6x−6y=36
Subtract −6x−6y=36 from −6x+6y=−12 by subtracting like terms on each side of the equal sign.
−6x+6x+6y+6y=−12−36
Add −6x to 6x. Terms −6x and 6x cancel out, leaving an equation with only one variable that can be solved.
6y+6y=−12−36
Add 6y to 6y.
12y=−12−36
Add −12 to −36.
12y=−48
Divide both sides by 12.
y=−4
Substitute −4 for y in 3x+3y=−18. Because the resulting equation contains only one variable, you can solve for x directly.
3x+3(−4)=−18
Multiply 3 times −4.
3x−12=−18
Add 12 to both sides of the equation.
3x=−6
Divide both sides by 3.
x=−2
The system is now solved.
x=−2,y=−4
Related Questions
simplify
rewrite the expression in the form a^n
Answers
SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST
7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the tell us about the situation?
d. Graph the equation for values of t between 0 and 4.
Answers
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
3/4 squared is 9/16.
500 * 9/16
Multiply 500 by 9 to get 4500.
4500/16
Simplify 4500/16 to 1125/4 (4 is canceled out.)
1125/4
Divide 1125 by 4 to get 281.25
281.25
281.25 grams of aspirin will be in the patient body after two hours.
Plz help I need it!!!!!!!!!!!!
Answers
Answer:
114°
Step-by-step explanation:
[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]
The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?
Answers
Answer:
The answer is given below:
Step-by-step explanation:
The computation of the dimension of the pennant is shown below:
As we know that
Area of the triangle = 1 ÷ 2 × base × height
where
x represents the base of the traingle
h represent the height that should be (5x - 10)
Now according to the above formula
420 = 1 ÷ 2 × x × (5x - 10)
840 = x(5x - 10)
840 = 5x^2 - 10x
5x^2 - 10x - 840 = 0
5(x^2 - 2x - 168) = 0
x^2 - 2x - 168 = 0
x^ - 14x + 12x - 168
x (x - 14) + 12(x - 14)
(x + 12) (x - 14)
So, here x = 14
Now height would be
= 5(14) - 10
= 60 inches
When you find one more
than a number, only the
ones digit will change.
Can you give some examples please?
Answers
Answer:
15
Step-by-step explanation:
10+1=12
20+1=21
In the triangle below, which equation can be used to solve for x?
Answers
Answer:
file?
Step-by-step explanation:
Can anyone please help me to do this with steps
Answers
9514 1404 393
Answer:
x = 45°
Step-by-step explanation:
We presume you want the measure of angle x.
Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.
x + 70° = 115°
x = 45° . . . . . . subtract 70°
_____
It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.
find the measurement K explain in detail how do you solved for measurement k or upload a picture of your detailed work
Answers
Answer:
m<K = 63
Step-by-step explanation:
Exterior angle thm:
6x - 9 + 4x + 7 = 118
10x - 2 = 118
10x = 118 + 2
10x = 120
x = 12
m<K:
6x - 9
6(12) - 9
72 - 9
63
find the length of x please.
Answers
Answer:
x = 7.5
I used the Pythagorean theorem:
[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please
Answers
Answer: The closest one would be 3052.1
Step-by-step explanation:
a cylinder with height 8 units has a volume of 72 cubic units. what is the radius of the cylinder?
Answers
Answer:
r= 1.69
Step-by-step explanation:
please help for brainliest, ONLY PART C!!!!
(PLS note that brainliest can only be given when there are 2 answers, if ur the only person that responded i cannot give u brainliest, this i s bc u can only b the brainliest answer out of 2, but you cant be the brainliest answer out of only u, if that makes sense]
Answers
Answer:
They played 4 games and paid $19
Step-by-step explanation:
4x + 3 = 2x + 11 (You basically have to solve for X)
4x - 2x = 11 - 3 (move like terms together)
2x = 8
x = (8/2)
x = 4
This means they had to play 4 games.
To get how much they paid, just plug 4 into any one of those given equations (They will both give the same answer).
4x + 3 ⇒ 4(4) + 3 = $19
To check if this is true,
2x + 11 ⇒ 2(4) + 11 = $19
Therefore, they paid $19
Answer:
$19 and played 4 games
Debbie borrows $45, and then pays $5 back each week. She currently owes $20. What will the variable stand for?
Answers
Answer:
The variable would stand for the number of weeks that she has left to pay.
Answer: 12
Step-by-step explanation:
pls answer ASAP pls the quarter ends at 12:00
Answers
Answer:
55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
your trying to make it equal, in order to do that you must do to the top what you did the bottom
11 = ?
20=100
to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal
11/20x5/5=55/100
Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup
Answers
Answer:
6 ounces
Step-by-step explanation:
First cup = 4 ounces of coffee + 4 ounces of milk
= 8 ounces drink
Second cup = 6 ounces of coffee + 2 ounces of milk
= 8 ounces drink
She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.
Third cup = 2 ounces from the first cup + 4 ounces from the second cup
= 2 + 4
= 6 ounces drink
Ounces of coffee are in the third cup = 6 ounces
What angle pair is pictured?
1)Alternate lantern angles
2)corresponding angles
3)same-side interior angles
4)Alternate exterior angles
Answers
Step-by-step explanation:
Alternate and corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
it has six points
it is a corresponding angles
Find the value of x that makes the equation true.
2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9
Answers
Answer:
x = 7/9 or 0.78 as a decimal
Step-by-step explanation:
have a nice day!! :)
The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?
Answers
Answer:
216in^2
Step-by-step explanation:
6*6*6=216
side length is 6
6^2=36
36*6=216
What is the area?Please i need help
Answers
Answer:
65
Step-by-step explanation:
Base by High
then divided by 2
Exercise
1
Solve the inequality
of these equation
pretty please
Answers
Answer:
y<6
Step-by-step explanation:
1 /3 y + 1/4 > 3 /8y
1 /3 y + 1/4 − 3/ 8 y > 3/ 8 y − 3/ 8 y
− 1 /24 y + 1 4 > 0
−1 /24 y + 1 /4 − 1/ 4 > 0 − 1 /4
−1 /24 y > −1/ 4
Multiply both sides by 24/(-1).
y<6
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
find the measure of the missing angle
Answers
Answer:
28 i think [⩾▾⩽]
Step-by-step explanation:
since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.
hope this helps^^
have a great day :D
90 - 62 = 28
a = 28 degrees
what is the exponential equation
Answers
an angle inscribed in the same os equal arc are equal?
Answers
Answer:
yes
Step-by-step explanation:
Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)
Answers
Given:
Consider the expression is:
[tex]48+12[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]48\div 12[/tex]
It can be written as:
[tex]48\div 12=12\times 4+12\times 1[/tex]
Taking out the GCF, we get
[tex]48\div 12=12(4+1)[/tex]
Therefore, the correct option is B.
Answer:
b. 12 (4+1)
Step-by-step explanation:
hope this helps you {ribbit}
~tsu-chan :p
Help ASAP please! Thank you so much
What is the slope of the graphed line?
Answers
Answer:
the numbers aren't clear can you enlarge the screenshot?
Step-by-step explanation:
Answer:
Slope = [tex]- \frac{3}{4}[/tex]
Step-by-step explanation:
1. Choose 2 points from the graph
(0,-1) and (4,-4)
2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
3.) (-4) - (-1) = -3
(4) - (0) = 4
-3/4
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answers
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
a small glass jar is filled with colorful marbles. Six are blue, eight are yellow, five are green, and eleven are red. Marbles are chosen randomly from the jar one at a time without replacement. What is the probability of choosing a yellow marble followed by a blue one?
Answers
Answer:
the probability of choosing a yellow marble is about 27%, while the probability of blue is 20%.
Step-by-step explanation:
6+8+5+11=30
8/30=0.266666666666
6/30=0.2
No links!!!
Please help me
Answers
Answer:
B one
They only cross once on the graph
2 4/8 - 1 3/4 pls help i got 1 min
Answers
Answer:
1 1/8
Step-by-step explanation:
Tyler will dog sit for a fee of $16 then $4 for each hour, Katie will dog sit for a fee of $12 then $6 per hour. After how many hours (x) will Tyler and Katie charge the same amount (y)?
can you tell me the steps to follow in order to solve this plz.
Answers
Answer:
4 hours
Step-by-step explanation:
Because 12 by 8 =96$ and 16 by 6 is equal to 96 too