Solve simultaneous equation
2x + 4y = 1
3x-5y=7

Answers

Answer 1

Answer: $\left \{ {{2x+4y=1\ \ | *(-3)} \atop {3x-5y=7\ \ | *2}} \right. \n\n \left \{ {{-6x-12y=-3} \atop {6x-10y=14}} \right.\n+----\nadd\ both\ equations\n\n-22y=11\ \ \ | divide\ by\ -22\n\ny=-(1)/(2)\n\n2x=1-4y\ \ | divide\ by\ 2\n\nx=(1-4y)/(2)=(1-4*(-(1)/(2)))/(2) =(3)/(2)$

Answer 2

Answer:

Final answer:

To solve the simultaneous equations 2x + 4y = 1 and 3x - 5y = 7, we can use the elimination method. Multiply the equations to make the coefficients of x equal, subtract the equations, solve for y, and substitute the value of y in one of the original equations to find x. The solution is x = 3/2 and y = -11/22.

Explanation:

To solve the simultaneous equations:

2x + 4y = 1

3x - 5y = 7

We can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in each equation the same.
Now, subtract the equations:

(6x + 12y) - (6x - 10y) = 3 - 14

22y = -11

Divide both sides by 22 to solve for y:

y = -11/22

Substitute the value of y in one of the original equations to solve for x:

2x + 4(-11/22) = 1

2x - 2 = 1

2x = 3

x = 3/2

Therefore, the solution to the simultaneous equations is x = 3/2 and y = -11/22.

Learn more about Simultaneous equations here:

brainly.com/question/30319215

#SPJ3

Related Questions

Toilet rolls come in packs of 4 and 9the 4 pack is priced at 2.04 pound the 8 pack is prices at 3.68 pound by calculating the price per roll, determine which pack is better value. show your working
In general, when a number written in scientific notation includes a positive exponent, the absolute value of that number is __________.
What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ? A . 36 B . 36 C . 72 D . 144
On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?0.4051 0.5010 0.4653 0.6632
Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

The distance between -32 and
13

Answers

Answer: To find the distance between -32 and 13, we need to calculate the absolute difference between the two numbers.

The absolute difference is the positive value of the subtraction of one number from another. In this case, we subtract -32 from 13.

13 - (-32) = 13 + 32 = 45.

Therefore, the distance between -32 and 13 is 45 units.

If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.

Answers

y = k / x² ( y varies inversely as the square of x )
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8 / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200

Which property is illustrates by the following statement?5z + 1 = 1 + 5z

If you can, please show how you solved/did it for me, I'm really stupid honestly lol.

Answers

Answer:

Infinite solution

Step-by-step explanation:

When they equal each other it is an infinite solution

Manny makes dinner using 1 box of pasta and 1 jar of sauce. if pasta is sold in packages of 6 boxes and sauce is sold in packages of 3 jars, what is the least number of dinners that Manny can make without any supplies leftover?

Answers

You need to find the least common multiple of 6 and 3. This the minimum whole number that contains the number of boxes in one package of pasta and the number of jars in one package of sauce. t he least common multiple of 6 and 3 is 6. This means that Manny can make 6 dinners, which will be made with 1 package of pasta (6 boxes ) and two packages of sauce (2 * 3 = 6 jars).

Simplify the following expression.
7x- 8+2x5x11

Answers

Answer:110x^2+7x-8

Step-by-step explanation:

7x- 8+2x5x11

7x-8+110x^2

reoder the terms

110x^2+7x-8

Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.

Answers

The answer is 10.6 cubic inches.

The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
r - radius of the cone base,
h - height of the cone.

It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14

If:
V = 1/3 π r² h,
Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³

Therefore, Judy's sugar cone can hold 10.6 in³.

B) 10.6 cubic inches

Other Questions

The formula for the area of a trapezoid is A=1/2h(b1+b2) express b1 in terms of A, h and b2

What is the difference betweeen the cost of 300g of potatoes and 300g of carrots

En la granja hay 509 puercos anota el número antecesor y el número sucesor de la cantidad.

3r = 10 + 5s, when r = 10