Mathematics, 05.11.2019 11:31 JERosa12356

Find any 3 (x, y) pairs that are solutions for the equation 2x-5y=10 . show your work

Answers: 1

Show answers

Answers

Answer from: jesswolf91

(0,-2), (5,0) and (10,2).

Step-by-step explanation:

Given equation is 2x-5y=10 .

Now we need to find 3 pairs of solutions in (x,y) form for the given equation.

As 2x-5y=10 is a linear equation so we are free to pick any number for x like x=0, 5, 10

Plug x=0 into 2x-5y=10 , we get:

2(0)-5y=10

0-5y=10

-5y=10

$y=\frac{10}{-5}$

y=-2

Hence first solution is (0,-2)

We can repeat same process with x=5 and 10 to get the other solutions.

Hence final answer is (0,-2), (5,0) and (10,2).

Answer from: jenna3490

Hello!

The answers is:

The three points that are solution for the equation are:

$(5,0)\\(0,-2)\\(6,0.4)$

Why?

To find 3 pairs (x,y) or points that are solutions for the equation, we could find where the function intercepts the x-axis and y-axis, we must remember that the domain of a line is all the real numbers, so by using any input, we will find a solution, which means finding a point that belongs to the line.

So,

Finding the axis intercepts of the line, we have:

x-axis intercept:

Making "y" equal to 0, we have:

2x-5y=10

2x-5*(0)=10

2x=10

$x=\frac{10}{2}=5$

We have that the interception point with the x-axis is (5,0)

y-axis intercept:

Making "x" equal to 0, we have:

2x-5y=10

2*(0)-5y=10

0-5y=10

5y=-10

$y=\frac{-10}{5}=-2$

We have that the interception point with the y-axis is (0,-2)

As we know, the domain of a line is equal to the real numbers, Now, we have that any between the points (5,0) and (0,-2) will belong to the line, so, let's try with a point wich x-coordinate (input) is equal to 6 and then find the y-coordinate (output) if the point satisfies the equality, it belongs to the equation to the line.

Substituting x equal to 6, we have:

2*(6)-5y=10

12-5y=10

12-10=5y

$y=\frac{12-10}{5}=\frac{2}{5}$

So, the obtained point is:

$(6,\frac{2}{5})$

(6,0.4)

Now, let's prove that it belongs to the equation of the line by substituting it into the equation:

$2*(6)-5*\frac{2}{5}=10$

12-2=10

10=10

We can see that the equality is satisfied, it means that the point belongs to the line.

Hence, the three points that are solutions for the equation are:

$(5,0)\\(0,-2)\\(6,0.4)$

Have a nice day!

Answer from: Quest

, ; dcbsdkmnld

step-by-step explanation:

Answer from: Quest

the correct answer is 828.07

Another question on Mathematics

Mathematics, 21.06.2019 14:50

Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak negative correlation, and it is not likely causal. it is a weak negative correlation, and it is likely causal. it is a strong negative correlation, and it is not likely causal. it is a strong negative correlation, and it is likely causal.

Answers: 1

Answer

Mathematics, 21.06.2019 16:00

Fiona races bmx around a circular dirt course. if the radius of the course is 70 meters, what is the total distance fiona covers in two laps of the race? a. about 30,772 meters b. about 15,386 meters c. about 879.2 meters d. about 439.6 meters e. about 219.8 meters23 points hurry

Answers: 3

Answer

Mathematics, 21.06.2019 18:40

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Answers: 1

Answer

Mathematics, 21.06.2019 23:20

The following hormone had their receptors in the cell membrane except a-insulin b-tsh c-gh d- cortisol

Answers: 2

Answer

You know the right answer?

Find any 3 (x, y) pairs that are solutions for the equation 2x-5y=10 . show your work...

Questions