Which of the following systems has an infinite number of solutions?

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

3 0

Answer:

C. x+y = 1 and -x-y = -1

Step-by-step explanation:

Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.

1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)

2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.

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4x+5-2=3x+7x-15 I dont get how to get the answer for this please help.

fredd [130]

Hello there! How are you today?

4x + 5 -2 = 3x + 7x - 15

First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.

3x + 7x = 10x

4x + 5 - 2= 10x - 15

Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.

4x - 4x = 0
10x - 4x = 6x

We are now left with:
6x - 15 = 5 - 2

Simplify the right side of the equation.

5 - 2 = 3

6x - 15 = 3

Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.

-15 + 15 = 0
3 + 15 = 18

We now are left with:
6x = 18

Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.

6x = 18
Divide both sides by 6.

6x / 6 = x
18 / 6 = 3

We are now left with the solution:

x = 3

I hope this helps!

4 0

3 years ago

A finance journal, which publishes research on current financial topics, states that the maturity term for a certificate of depo

Fiesta28 [93]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this the hypothesis is:

$H_{0}:\mu=10\\\\H_{1}:\mu\neq10$