solve this system of liner equations:
4x - 2y = 8 y= 3/2x - 2
step 1: plot the x-intercept of the first equation
Answers
x = 4 , y = 4
Step-by-step explanation:
Solve the following system:
{4 x - 2 y = 8 | (equation 1)
y = (3 x)/2 - 2 | (equation 2)
Express the system in standard form:
{4 x - 2 y = 8 | (equation 1)
-(3 x)/2 + y = -2 | (equation 2)
Add 3/8 × (equation 1) to equation 2:
{4 x - 2 y = 8 | (equation 1)
0 x+y/4 = 1 | (equation 2)
Divide equation 1 by 2:
{2 x - y = 4 | (equation 1)
0 x+y/4 = 1 | (equation 2)
Multiply equation 2 by 4:
{2 x - y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Add equation 2 to equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 4 , y = 4
The solution to the system of equation y = 2x - 4 and y = 3/2x - 2 is (4, 4).
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given are two equations of a line they are,
4x - 2y = 8⇒ - 2y = - 4x + 8 ⇒ y = 2x - 4 and y = 3/2x - 2.
The intersection of these two lines are (4, 4) and hence it is the solution
of these given two lines.
learn more about the system of equations here :
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Related Questions
I have asked so many questions and no one has helped me out lol
Answers
Answer:
That's really sad.
Step-by-step explanation:
I'll go check out your questions :)
Sam had a bank account balance of $-\$32$ . He deposited $\$28$ into his account.
Which statement is true about his balance after making the deposit?
Answers
Answer:
After making the deposit, he/she still has a bank account of -4 dollars.
Step-by-step explanation:
1. Find the GCF for 14ab- 42a
Answers
Answer:
14(ab- 3a)
Step-by-step explanation:
14 times ab is 14ab and 14 times 3a is 42a
the sum of 18 + 45 is a multiple of which sum? (3 + 9) (2 + 5) (1 + 3) (9 + 9)
Answers
Answer:
(2 + 5)
Step-by-step explanation:
First, calculate the sum of 18+45. This is 63.
Then, calculate all sums.
3 + 9 = 12
5 + 2 = 7
1 + 3 = 4
9 + 9 = 18
63/ 12 = 5.25
63/7 = 9
63/4 = 15.75
63/18 = 3.5
63/7 results in a positive integer, 9. All other values result in positive integers with decimals. Therefore, the sum of 5 + 2 has a multiple of the sum of 18 +45.
Answer:
2+5 HOPE THIS HELPSSS
Step-by-step explanation:
In one round of a television game show, five questions are asked. The second question is worth twice as much as the first. The third question is worth three times as much as the second. The fourth question is worth four times as much as the third. The fifth question is worth five times as much as the fourth. If the fifth question is worth $12,000, what is the first question worth?
Answers
Answer:
$100
Step-by-step explanation:
1st q. 2nd q. 3rd q. 4th q. 5th q
x. 2x. 3(2x)=6x. 4(6x)=24x. 5(24x)=120x
100. 200. 600. 2400. 12000
since the 5th q was worth 12000 we know:
120x = 12000
x = 100
Can someone please tell me how to expand and simplify 4(x+1)^2?
[ i know now to expand brackets like (x+2)^2, but the 4 confuses me]
Answers
Expand the binomial first, then distribute the 4:
4 (x + 1)² = 4 (x ² + 2x + 1)
… = 4•x ² + 4•2x + 4•1
… = 4x ² + 8x + 4
find the area of quadrilateral which all side is 4 cm and diagonal one is 7 and diagonal two is 6
Answers
Step-by-step explanation:
Your answer...... 21 cm^2
WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER
Answer:
the quadrilateral is a rhombus as its all four sides are equal (of 4cm) each
Area of rhombus = 1/2 (digonal 1 × digonal 2)
= 1/2 ( 7×6 )
= 1/2 ( 42)
= 21
hence area of quadrilateral is 21 cm square
for a walk-a-thon a sponsor committed to give to give you a flat fee of $5 plus $2 for every Mile you walk write an expression for the total amount you collected from the sponsor at the end of The Walking on expression
Answers
A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the couple had paid $2,250
interest.
What was the length of the couple's loan?
Answers
Answer:
6 years
Step-by-step explanation:
t=2250/375
t=6
Hence time of the loan will be 6 years
Answer:
6 years
Step-by-step explanation:
5000 x 0.075 = 375
2250/375 = 6
therfore it is 6 years worth of interest
Fine the slope
Pls someone help me im trying to get a 100 for my hw ❤️
Answers
Answer:
-7/2isa answer or -3 1/2
Step-by-step explanation:
y=-7x/2-1
y+7/2 x+1=0
slope=-(7/2)/1=-7/2
Here is an expression: 3⋅2 Evaluate the expression when is 1. Evaluate the expression when is 4.
Answers
Answer:
1.) 5
2.) 14
Step-by-step explanation:
As given,
the expression - 3x + 2
1.)
Evaluate the expression when x is 1
⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5
2.)
Evaluate the expression when x is 4
⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14
plz answer only if u know ur correct
Answers
Answer:
blue, y=150x
Step-by-step explanation:
x increased by 2 and y increased by 300 so y=150x
Answer:
Y=150x, blue, diamond, yeah
Step-by-step explanation:
On the orange line, x is increased by 2 and y is increased by 300. In this case, y = 150 times x. So y=150x. I hope this helped and I'm not really sure how else to explain it.
15. Considera um losango em que uma diagonal tem 8cm e cuja área é 12cm^2. Qual é o comprimento do lado do losango, arredondado às décimas? Nota: Indica apenas o valor numérico usando algarismos. (Não escrevas unidades de medida na resposta.)
Answers
Answer:
4,3cm
Step-by-step explanation:
Passo 1
Um losango tem 2 diagonais, cujos comprimentos não são iguais
Temos que encontrar o comprimento da segunda diagonal
A fórmula é dada como:
Área de um losango = 1/2 (d1 × d2)
Área do losango = 12 cm²
d1 = Comprimento da primeira diagonal = 8cm
d2 = Comprimento da segunda diagonal = x
12 = 1/2 (8 × x)
12 = 1/2 (8x)
12 = 4x
x = 12/4
x = 3cm
O comprimento da segunda diagonal = 3 cm
Passo 2
A fórmula do comprimento da lateral de um losango é dada como:
s = √d1² + d2² / 2
d1 = 8cm
d2 = 3 cm
s = √8² + 3² / 2
s = √64 + 9/2
s = √73 / 2
s = 8,5440037453 / 2
s = 4,2720018727 cm
Aproximadamente = 4,3 cm
The legs in the right triangle below are 12 units long what is the value of x ?
Answers
Answer:
B
Step-by-step explanation:
Because the legs of the triangle (not the hypotenuse) are equal to each other, x is 45 degrees.
Given g(c) = -x + 5, solve for x when g(x) =
-2
Answers
Answer:
x=7
Step-by-step explanation:
It would be -2=-x+5
Now solve!
Hope this helps!
The symbol _____________ means "is similar to" and the symbol ____________ is the abbreviation for the word angle.
Answers
Answer:The symbol \sim∼ means "is similar to" and the symbol \angle∠ is the abbreviation for the word
angle.
Step-by-step explanation: i hope it is right i am sure it is
The symbol "[tex]{\sim}[/tex]" is commonly used to represent the mathematical concept of "is similar to." while "∠" represents the concept of an angle.
The symbol "[tex]{\sim}[/tex]" is commonly used to represent the mathematical concept of "is similar to." often used in mathematical equations or geometric diagrams to indicate the presence of a similarity.
On the other hand, the symbol "∠" is the abbreviation for the word "angle." In geometry, an angle is formed when two rays or line segments share a common endpoint.
Thus, the symbol "[tex]{\sim}[/tex]" is commonly used to represent the mathematical concept of "is similar to." while "∠" represents the concept of an angle.
Learn more about similarities here:
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Combine the like terms to create an equivalent expression:plsss helpp
Answers
Hi! Please let me know if you would like to trade a 5$ microsoft giftcard in exchange for a 10$ sephora one. I am 4.78 short and I would be willing to trade my 10$ sephora gift card for one.
Answers
Answer:
HAHHAHAH XD sorry jkjkjk
Step-by-step explanation:
7y+2
20
X + 8
30
Find the values of x and y in each parallelogram
Answers
Answer:
vvvvvvvvvv
24 x 56y i
Step-by-step explanation:
is the answer
the mean of the ages of 5 brothers is 13 years. If the ages of four of the brothers are 12, 16, 14, and 8, how old is the fith brother
Answers
If you want to solve this problem you would need to multiply 13 by 5 and then add 12, 16, 14, and 8 together and subtract it from your product of 13 and 5.
After that just check your answer by seeing if the mean of all the numbers is the same.
Find a polynomial function whose graph passes through (7,11), (10,-11), and (0,3)
Answers
Answer:
there right
Step-by-step explanation:
Answer:
Step-by-step explanation:
The shirt was doubly marked down! There was a 25% off sale, and then an additional 10% off of that. After the mark downs, the price was $30. Which equation shows the original price of the shirt? Use S to represent original price of shirt.
Answers
Answer:
40.5
Step-by-step explanation:
i multiplied 30 with .25 which was 7.5
then i multiplied 30 with .1 which was 3
add those together 10.5
add that too 30 which is 40.5
Please help as soon as you can!
Answers
Answer:
C. y= 105(1+0.05)^x
Step-by-step explanation:
y = a(1 + r)t the formula
Which of the following has a quotient of 5?
A. –75 ÷ 15
B. 12 ÷ 2
C. 30 ÷ –6
D. –80 ÷ –16
Answers
Answer:
A
Step-by-step explanation:
75÷ 15=5
In OPQ q=18 o=96 and P=142 find the length of p to the nearest centimeter
Answers
Answer:
1000000
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
greatest common factor of -4x to the 4 power minus -8x to the 3 power?
Answers
how do you do this question? 再20至30之间，有多少个质数？A .2 B.4 C.6 D.8
Answers
Answer:
有两个，是23 和29
所以是 A
i need help finding the system of inequalities!
Answers
Answer:
35
Step-by-step explanation:
h
1.
(3x + 12)
(11x)
This is geometry could plz help me
Answers
Answer:
x = 12°
Step-by-step explanation:
3x + 12° + 11x = 180° {being co-interior angles }
12° + 14x = 180°
14x = 180° - 12°
14x = 168°
x = 168° / 14
x = 12°
Answer:
12
Step-by-step explanation:
( 3x + 12 ) + 11x = 180°
14x = 180 - 12
14x = 168
x = 168÷14
x = 12
1. What is the ratio of cow to ducks? (2 marks)
Plz help me
Answers
Answer:
i guess 10 i hope this is the right answer
Answer:
Step-by-step explanation:
its 1 : 4