math

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Can someone please help me with these problems?Out of 35 problems these are the ones I can not figure out.Please show all of the stepswith no shortcuts. I am sincerely trying to learn this stuff.Thanks
4y-2+y+36=7y+40-5y

5.3x-5.36=4.24-6.7x

6(x+4)=8(x-2)

In a triangle ABC, angle B is 3 times angle A and angle C is 19 degrees less than 6 times A. What is the size of angle A?

  • math -

    Here's the first one.

    4y-2+y+36=7y+40-5y

    4y + y -7y + 5y = 2 - 36 + 40
    3y = 6
    y = 2

    Follow the above procedure and try the others. I'll be glad to check your answers.

  • math -

    5.3x-5.36=4.24-6.7x
    5.3x+6.7x=4.24+5.36
    12x=9.6
    12x/12=9.6/12
    x=.8 If this is wrong can you illustrate what corrections need to be made?

    6(x+4)=8(x-2)
    6x+24=8x-16
    14x=24+16
    14x=40
    14x/14=40/14
    x=2.8571428
    that does not even sound right

    In a triangle ABC, angle B is 3 times angle A and angle C is 19 degrees less than 6 times A. What is the size of angle A?

    (3A)+(^A-19)+A=180 degrees
    10A-19=180
    10A-19+19=180+19
    10A=199
    10A/10=199/10
    A=19.9 degrees.
    I wouldappreciate any advice you can give me to understand this math. I am about to lose it. Thank you so much.

  • math -

    The first one is correct.

    However, you forgot to subtract in the second problem.

    6(x+4)=8(x-2)
    6x+24=8x-16

    6x - 8x = -24 + (-16)

    Your third answer is correct.

  • math -

    Is 20 the correct answer to the problem?
    6(x+4)=8(x-2)
    I just checked and if I checked right,20 is the answer.What is the rule for getting like variables together. Do you always subtract the right from the left?

  • math -

    Yes. 20 is correct.

    Not necessarily. You want to get the unknowns on one side and the knowns on the other side.

    Examples:

    2x + 5 = 11
    2x + 5 - 5 = 11 - 5

    11 = 2x + 5
    11 - 5 = 2x + 5 - 5

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