Find an ordered pair (x,y) that is a solution to the equation. 6x-y=1

Mathematics

2 answers:

Phoenix [80]3 years ago

7 0

Answer:

One possible ordered pair is (0,-1)

Another ordered pair is (1/6, 0)

There are infinitely many ordered pairs

================================================

Explanation:

If x = 0, then y is...

6x-y = 1

6(0)-y = 1

0-y = 1

-y = 1

y = -1

So one ordered pair solution is (x,y) = (0,-1). This is the y intercept which always occurs when x = 0.

--------------

If y = 0, then,

6x-y = 1

6x-0 = 1

6x = 1

x = 1/6

meaning that (x,y) = (1/6, 0) is another ordered pair solution. This is the x intercept which always occurs when y = 0.

---------------

As you can see, we can plug in any number we want for x or y (pick one only). Whatever you pick, you solve for the other unknown variable. Since we can pick infinitely many values to plug in, this means there are infinitely many ordered pair solutions. Visually, there are infinitely many points that are along the line 6x-y = 1

Note: 6x-y = 1 solves to y = 6x-1. It has slope 6 and y intercept 1.

natita [175]3 years ago

3 0

Answer:
(1, 3 )
Step-by-step explanation:
To find a solution to the equation.
Rearrange making y the subject by subtracting 6x from both sides
Given
6x + y = 9, then
y = 9 - 6x
Substitute any value of x into the equation and solve for y to obtain a solution
x = 1 → y = 9 - 6(1) = 9 - 6 = 3
Thus (1, 3) is a solution to the equation

You might be interested in

A cup of cereal has 12 grams of fiber, which is 40%40% of the recommended daily allowance. What is the recommended daily amount?

Nesterboy [21]

12g = 40% = 4/10
12 divide by 4 = 3
3 x 10 = 30
Ans = 30grams

5 0

4 years ago

Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = St

Amiraneli [1.4K]

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

$\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}$

Let the question mark be represented by x.

We then have:

$\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces$