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Katena32 [7]
11 months ago
15

Given the equation y=2x+3, write a second equation that would create an independent consistent linear system

Mathematics
1 answer:
STALIN [3.7K]11 months ago
3 0

Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).

This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:

They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).

In our case, we are asked to write an equation in order to create an independent consistent linear system.

Note: Consistent means that the system has a solution.

First, we graph the given equation:

y=2x+3

There are many different equations that will form an independent consistent linear system with this equation.

We are going to choose the following line equation:

y=-x+1

Because when we graph this equation next to the previous line:

We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.

Answer:

y=-x+1

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Math question 2, thanks if you answer.
kirza4 [7]

Answer:

The answer is false and I hope this will help you

7 0
3 years ago
An orchestra of 25 members bought tickets, at all different prices, to a concert, and the mean price paid was $82. A new musicia
AleksAgata [21]

Answer:

$82.3

Step-by-step explanation:

82x25=2050

2050+90=2140

2140/26=82.3

5 0
3 years ago
PLEASE HELP!!! Write an absolute value equation representing all numbers x whose distance from 0 is 10 units.​
tangare [24]
X would be the absolute value of 10 or -10 since they both are 10 units from 0 so it can be x=l10l or x=l-10l, they both equal 10
5 0
3 years ago
Solve the inequality and graph its solution: 6n – 11 > 31
miss Akunina [59]
<span>6n – 11 > 31
</span><span>6n  > 31 + 11
</span>6n  > 42
  n > 42/6
  n > 7
5 0
3 years ago
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus
Iteru [2.4K]
<span>solve the equation ax – c = bx + d for x:

1) Group the x terms together on the left:     ax - bx - c = d

2) Group the constant terms together:          ax - bx = c + d

3) factor out x:                                             x(a - b) = c + d

4) Divide both sides of the equation by (a - b) to obtain a formula for x:
                                                       c+d
</span>           x(a - b) = c + d   =>    x = ---------
                                                       a-b

This shows that the given equation CAN be solved for x, but there is a restriction:  a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).

Where is Victoria's solution?  Please share it if you want to discuss this problem further.  Thank you.

8 0
3 years ago
Read 2 more answers
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