MATHEMATICS HIGH SCHOOL

Solving systems of elimination 1) x-y=11
2x+y=19

2) 4x+8y=20
-4x+2y=-30

4) -6x+5y=1
6x+4y=-10
what are the answer to these three questions

Answers

Answer 1
Answer: To answer by systems of elimination, you add equations together to eliminate variables if they have the same amount of negative variables in one as the positive variables in another.
For example, in number one.

x - y = 11
2x + y = 19

Both equations contain a variable expressed in the same numbers of negative and positive in each of them, one positive y and negative y. This lets us add the equations together.
x + 2x = 3x
 11 + 19 = 30
3x = 30
x = 10

Now that we know that x = 10, we can plug it into the first equation, x - y = 11 to find y.

x - y = 11
10 - y = 11
y = -1 

For the second one,

4x + 8y = 20
-4x + 2y = 30

Negate the x's since there is the same and opposite amount, while adding the rest of the equations together.

8y + 2y = 10y
20 + 30 = 50
10y = 50
y = 5

Plug it into the initial equation to find x

4x + 8(5) = 20
4x + 40 = 20

Subtract 40 from both sides

4x = -20
x = -5

For the third equation,

-6x + 5y = 1
6x +4y = -10

Negate the x's, add the rest together

5y + 4y = 9y
1 - 10 = -9
9y = -9
y = -1

Plug it into the first equation to find x

-6x + 5y = 1
-6x + 5(-1) = 1
-6x - 5 = 1

Add five to both sides

-6x = 6
Divide both sides by negative 6
x = -1

When the problems do not have the same value of opposite versions of current numbers, for example:

3x + 4y = 6
-6x +g = 6

You can multiply an entire equation to get similar numbers of a variable.
For example, you can multiply the first equation entirely by 2 to get the same number of positive x's to the negative x's in the second one, changing it to 6x x 8y = 12.

Hope I helped.

Related Questions

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?2feet 16 feet 32 feet 64 feet
John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?
Use the following figure to answer the question. 1 and 5 are _____ angles.
Rewrite .065555555....as a fraction
At a summer camp,the ratio of campers to adults is kept equivalent to 7:1 use equivalent ratios to complete the table

5. To get to the library from his house, Robert biked 6 kilometers due east and then8 kilometers due south. On the way back, he cut across a field, taking the shortest
possible route home.
How far did Robert bike on the round-trip?
Home
6 km
8 km
Library

Answers

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

  • The two shorter segments are the two legs, and
  • The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^(2) + (\text{Leg 2})^(2)}\n&= \sqrt{6^(2) + 8^(2)}\n&= √(36 + 64) \n&= √(100)\n&= \rm 10\;km\end{aligned}.

The length of the round-trip will equal to the sum of the length of the three segments: \rm 6\;km + 8\;km + 10\;km = 24\;km.

A cross product is an equation which states that two ratios are equal. true or false

Answers

I would say that the answer would be false.

Answer:

True

Step-by-step explanation:

The cross-product property states that if the cross products of two ratios are equal, then the ratios are equivalent (equal).

Therefore, the answer to your question would be true.

Hope this helps.

P.S; the answer above is correct in the sense of a proportion, which is an equation that directly states the equality of two ratio's.

PLEASE ANSWER ASAP IF YOU KNOW THIS :D Kim earns $30 for babysitting on Friday nights. She makes an average of $1.25 in tips per hour. Write the function of Kim's earnings, and solve for how much she would make after 3 hours.a. y = 1.25x + 30; $33.75
b. y = 30x + 1.25; $43.75
c. y = 30x + 1.25; $91.25
d. y = 1.25x + 30; $31.25

Answers

y = 1.25x + 30....after 3 hrs
y = 1.25(3) + 30
y = 3.75 + 30
y = 33.75

2v2 -5v +3 = 0 how did I do this?

Answers

2v2 -5v +3 = 0 \n \n\Delta = b^(2)-4ac = (-5)^(2)-4*2*3= 25-24=1\n \nv_(1)=(-b-√(\Delta ))/(2a) =(5- √(1 ))/(2*2)=(5- 1)/(4)= (4)/(4)=1\n \nv_(2)=(-b+√(\Delta ))/(2a) =(5+ √(1 ))/(2*2)=(5+1)/(4)= (6)/(4)=(3)/(2)=1(1)/(2)

What is an equation of the parabola with vertex at the origin and focus (-6, 0)?

Answers

Answer:

y^(2)=-24x

Step-by-step explanation:

According to analytic geometry, a parabola is define as

y^(2)=4px

Where p is the coordinate of the focus.

So, the equation for this parabola is

y^(2)=4(-6)x

y^(2)=-24x

The negative sign indicates that the parabola opens leftward. The image attached shows the graph.
Hello,

p is the parameter of the parabola
y²=2px is his equation.
Focus F=(p/2,0)
Directrice x=-p/2

Here p/2=-6==>p=-12
Equation is y²=-24x

a typical stone on the lowest level of the great pyramids of egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. what was the volume of the average stone? how much did one cubic foot of this stone weigh?

Answers

your total volume is 150 cubic feet and your weigh is .1 tons each cubic foot
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