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.

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

You might be interested in

Divide 9(7y − 15) by 110 − 6y4

user100 [1]

I used an app to send a picture because I couldn’t write it how it looks

5 0

3 years ago

As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many diff

frozen [14]

Answer:

$15,120$

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of $9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}$ permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.