Question

To solve this system using the addition method, you would need to multiply the first equation by what number in order for the x's to add out?

2x + 3y = 8
-6x + 4y = 11

Answer 1

What do you think it should be multiplied by?

Answer 2

2?

Answer 3

@Hero

Answer 4

You need to be able to eliminate one of the variables after multiplying. Is multiplying by 2 going to help you do that?

Answer 5

I honestly dont know what you wouild multiple by? :/

Answer 6

First understand the directions provided by the problem, They want you to add and further they want you to multiply the first equation by a number so when added it sums the x's to zero. Do you follow so far?

Answer 7

yes

Answer 8

O.K now what is the coefficient of the x in the first equation? It is a 2
What is the coefficient of the x in the 2nd equation? It is a -6. What added to a -6 would equal 0 ? -6 + ? =0 Can you answer that?

Answer 9

6

Answer 10

-6 + 6 = 0 Yes,
now what do we have to multiply the first equation so that the 2 on the x becomes a 6?

Answer 11

Now remember when you multiply that 2 so it becomes a 6, you must also multiply all of those terms in that first equation.

Answer 12

3

Answer 13

Absolutely, so multiplying through by 3 the first equations becomes:
6x + 9y = 24 Now when added to the second equation your x's will add out.

Answer 14

so the answer would be 3 to the question?

Answer 15

6x + 9y = 24
-6x +4y = 11
Yes that is all they wanted, the answer is 3.

Answer 16

okay can you help me with another

Answer 17

Solve the system using the addition method.

3x + 4y = -10
5x - 2y = 18

What is the x-value in the solution?

Answer 18

no my bad i meant this problem

Solve the system using the addition method.

3x + 2y = 10
6x + 4y = 14

What is the solution to the system?

Answer 19

Since they are only asking you the x value, all you have to do is eliminate the y's. that can easily be done by multiplying the first equation by -2 being sure you multiply all the way through the first equation. (every term by -2). You should get
-6x -4y = 20
6x +4y =14 now adding
------------
0x +0y = 34
Note that the equation "explodes", It is inconsisent, there are no answers.

Answer 20

Note that the left hand side the second is twice the first equation, while on the right sider it is not, therefore it is not consistent, and is not solvable.

Answer 21

Be sure you have copied the problem correctly.

Answer 22

I notice that the second problem, wanted a solution, well the fact of the matter is there is none.

Answer 23

Just for your information, if the 2nd equation had been:
6x + 4y = 40 You would still not have a specific solution as the two are "identities" and there are an infinite number of solutions.

Answer 24

Good luck with these, I have to run.