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inn [45]
4 years ago
12

Find the missing coordinate if the ordered pair is to be a solution to the equation 3x+y=9:(?,-9)

Mathematics
2 answers:
Yuri [45]4 years ago
7 0
3x + (-9) = 9
3x - 9 = 9
3x = 9 + 9
3x = 18
x = 18/3
x = 6    ←  <span>missing coordinate

Answer: (6, -9)</span>
Svetach [21]4 years ago
7 0

Answer:

The ordered pair (6, -9) is a solution to the equation 3x+y=9

Step-by-step explanation:

A point is said to lie on the graph, if the point can satisfy that equation of the line. To check if a particular point satisfies an equation, all you have to do is substitute the value of the point in that equation and check if it validates the equation.

We know the equation of the line 3x+y=9 and the ordered pair (a, -9) is a solution to the equation.

Substitute this point into the equation

3a+(-9)=9

and solve for a

3a-9=9\\3a-9+9=9+9\\3a=18\\\frac{3a}{3}=\frac{18}{3}\\a=6

The ordered pair (6, -9) is a solution to the equation 3x+y=9 because when you substitute the value of the point into the equation it validates the equation.

3(6)+-9=9\\18-9=9\\9=9

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100 points! PLEASE ANSWER!
german

Answer:

x + y = 36 (1)

7x + 4y = 216 (2)

Step-by-step explanation:

Quanrity of Holiday blend = 36 pounds

Cost per pound of the blend = $6.00

Cost of chocolate chips = $7.00 per pound

Cost of pretzels = $4.00 per pound

Let

Pounds of chocolate chips = x

Pounds of pretzels = y

x + y = 36 (1)

7x + 4y = 36 × $6.00

7x + 4y = 216 (2)

The system of equation is

x + y = 36 (1)

7x + 4y = 216 (2)

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3 years ago
Which whole number property is represented?
Mrac [35]

Answer:

commutative property of addition

Step-by-step explanation:

it will be the same oriented both ways

4 0
3 years ago
Read 2 more answers
Suppose your family spent​ $2438.67 on home energy last year. Estimate the amount spent on heating and​ cooling, rounded to the
Minchanka [31]

Answer:

The answer is "1200".

Step-by-step explanation:

The percentage value for \frac{heating}{cooling}= (48 \% )

So,

\to  2438.67 \times \frac{48}{100} \\\\\\\to 117,056.16 \times \frac{1}{100}\\\\\to 1170.5616\\\\

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6 0
3 years ago
The cost of a computer is $849. The store is offering a 20% discount, and then a sales tax of 6% is added after the discount. WH
Alex_Xolod [135]

Answer:

$719.95

Step-by-step explanation:

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount. This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

3 0
3 years ago
Find two different planes whose intersection is theline:x = 6 + 3ty = -8 - 3tz = -1 - tWrite equations for each plane in the for
alina1380 [7]

Answer:

x+y=-2 and 3z-y=5 are two such planes.

Step-by-step explanation:

To find the two planes whose intersection is the line

x=6+3t\\ y=-8-3t\\ z=-1-t

You can say that <em>t</em> is equal to this expression

t=\frac{x-6}{3} =\frac{y+8}{-3}=-z-1

Next,

\frac{x-6}{3} =\frac{y+8}{-3}\\ \frac{y+8}{-3}=-z-1

Then,

x+y=-2 and 3z-y=5 are two such planes.

You can see in the image attached that the intersection of this planes is the line

x=6+3t\\ y=-8-3t\\ z=-1-t

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