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4 years ago

What is the answer to x-y=6 to x=6+y

1 answer:

5 0

Substitute x in the first equation for 6+y

(6+y) - y = 6

6 = 6

This system is a special case.

The answer is: Infinitely Many Solutions

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Graph the equation below. y−3=1/2(x+3)

Orlov [11]

The slope is 1/2 and the y-intercept is 3/2. those are the steps to graph the equation.

8 0

4 years ago

Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form. (2,8), and (8,2)

leonid [27]

Answer:

$y=-x+10$

Step-by-step explanation:

Hi there!

Slope intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (2,8),and (8,2)

$m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1$

Therefore, the slope of the line is -1. Plug this into $y=mx+b$ :

$y=-x+b$

2) Find the y-intercept (b)

$y=-x+b$

Plug in a given point and solve for b

$8=-2+b$

Add 2 to both sides

$8+2=-2+b+2\\10=b$

Therefore, the y-intercept is 10. Plug this back into $y=-x+b$ :

$y=-x+10$

I hope this helps!

3 0

3 years ago

Una botella de agua de medio decimetro cubico se llena en 35 segundos .Con el mismo flujo de agua,¿En cuantos minutos se llenari

Amanda [17]

Answer:

5,250 minutes

Step-by-step explanation:

0.5 cubic Centimeter = 0.0005 liter

So, 4.5 liters = 4,500 cubic Centimeter

Time required for 0.5 cubic Centimeter = 35 seconds

So, we can calculate the total time required by using following formula

Total time required = (Time required for 0.5 cubic Centimeter × 2 ) × 4,500 cubic Centimeter

So, Total time required = (35 seconds ×2 ) × 4,500

= 70 × 4,500

= 315,000 seconds

= 5,250 minutes

6 0

3 years ago

There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of

weqwewe [10]

d = number of dimes

n = number of nickels

The jar contains a total of 107 coins, so

d + n = 107

Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so

0.10d + 0.05n = 6.70

Multiply both sides of the second equation by 100 to eliminate the decimal points:

10d + 5n = 670

Multiply both sides of the first equation by -5:

-5d - 5n = -535

Add the corresponding sides of these two equations to eliminate n and solve for d :

(10d + 5n) + (-5d - 5n) = 670 + (-535)

(10 - 5)d + (5 - 5)n = 670 - 535

5d = 135

d = 135/5 = 27

Then

n = 107 - d = 80

so the jar contains 27 dimes and 80 nickels.

7 0

3 years ago

X - 6y = 4 and 3.x – 18 How many solutions

Kobotan [32]

Answer:

None

Step-by-step explanation:

5 0

3 years ago