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Mathematics 14 Online
OpenStudy (anonymous):

Which expressions would complete this equation so that it has infinitely many solutions? 8 + 2(8x – 6) = Choose exactly two answers that are correct. A. 2(4x + 7) B. 9x – 10 C. 16x – 4 D. 4(4x – 1)

OpenStudy (jonnyvonny):

For a any equation, there can only be an infinite number of solution if the equation is the same.

OpenStudy (jonnyvonny):

When you combine like terms, you get: 16x-4

OpenStudy (jonnyvonny):

So, get the two equations that equal 16x-4

OpenStudy (anonymous):

im still confused :/

OpenStudy (jonnyvonny):

No problem, so, first distribute 2 in the equation they give you: 8 + 2(8x-6). When you do so, when you distribute the 2, what do you get?

OpenStudy (anonymous):

8+16x-12?

OpenStudy (jonnyvonny):

Good, now combine like terms.

OpenStudy (jonnyvonny):

If you don't know entirely what that means, it means add and subtract the things you can; for example: 1+2+3, are all like terms, so you can add them. x+2x+3x are also like terms, so you can add them. x+2 are not like terms, so you cannot add them.

OpenStudy (anonymous):

ok..... but I still need some help.

OpenStudy (anonymous):

@JonnyVonny

OpenStudy (anonymous):

@StudyGurl14

OpenStudy (jonnyvonny):

So, you got: 8+16x-12 You can only subtract the 12 from the 8. 16x-4

OpenStudy (jonnyvonny):

You can then factor out a number that 16 and 4 have in common. In this case, it is 4. 4(4x-1)

OpenStudy (jonnyvonny):

Still need more help?

OpenStudy (anonymous):

yes please! I have to find exactly 2 answers that are correct.

OpenStudy (jonnyvonny):

Yeah, it is c and d. 16x-4 is what we got after simplifying the equation they gave us. 4(4x-1) is what we got after factoring out.

OpenStudy (anonymous):

Thank you so much :D

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