Question

Can someone help me with this.

Answer 1

Answer
1- y=-4
2- y=-11/15
3- y=24
4- c= 27/2

Answer 2

Answer:

1. y = -4

2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)

3. y = 24

4. c = -13.5

Step-by-step explanation:

30+7y=-2y-6

You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)

So, first, get the y's on the same side.

30+7y = -2y-6

Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.

30+(7y+2y)= -6

30+9y=-6

Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.

9y= (-6 - 30)

Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.

Keep the -6.

Switch the - to a +

And switch the positive thirty to a negative 30.

9y= -6 + (-30)

9y = -36

You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.

y= -36 ÷ 9

y= -4

__________________________

4(3y+4.1)=7.6

Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).

4(3y+4.1):

4 x 3y = 12y

4 x 4.1 = 16.4

12y+16.4 = 7.6

Subtract 16.4 from both sides

12y = -8.8

Divide both sides by 12 to get the y by itself

y= -0.73 (repeating)

__________________________

3(y+1) = 4y-21

This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.

3 x y = 3y

3 x 1 = 3

Rewrite the equation

3y+3 = 4y-21

Now this problem is similar to the very first problem

You need y by itself. So subtract 3y from both sides

3=(4y-3y)-21

3= 1y-21

Add 21 to both sides to get y by itself

24=1y

y=24

__________________________

3(2c+5) = 4(c-3)

This is just like the last two problems, you must use the distributive property.

3 x 2c = 6c

3 x 5 = 15

Rewrite equation.

6c+15 = 4(c-3)

Now you have to use the distrubtive property for 4(c-3)

4 x c = 4c

4 x (-3) = -12

Rewrite

6c + 15 = 4c - 12

Subtract both sides by 4c

(6c-4c) + 15 = -12

2c + 15 = -12

Subtract by 15 from both sides.

2c = -27

Divide both sides by 2, in order to get c by itself

c = -27 ÷ 2

c = -13.5