Question

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?

Answer 1

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.

Answer 2

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.

Answer 3

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.

Answer 4

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?

Answer 5

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