Question

Solve each of these equations. Explain or show your reasoning. 2(3x+2)=2x+28 5y+13=-43−3y 4(2a+2)=8(2−3a)

Answer 1

Answer:

x = 6

y = 7

a = 1/4

Step-by-step explanation:

Equation 1:

2(3x+2) = 2x + 28

6x + 4 = 2x + 28

4x = 24

x = 6

Equation 2:

5y+13 = -43-3y

8y = -56

y = -7

Equation 3:

8a + 8 = 16 - 24a

32a = 8

a = 1/4

Answer 2

Answer:

first equation=6

second equation=15

Third equation=

Step-by-step explanation:

2(3x+2)=2x+28

6x+4=2x+28

collect like terms

6x-2x=28-4

4x=24

Divide both sides by 4

4x/4=24/4

x=6

second equation

5y+13=43-3y

collect like terms

5y-3y=43-13

2y=30

Divide both sides by 2

2y/2=30/2

y=15

Third equation

4(2a+2)=8(2-3a)

8a+8=16-24a

collect like terms

8a+24a=16-8

32a=8

Divide both sides by 32

32a/32=8/32

a=1/4