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Since there are ten of them I will give 45 points (I only have 90) I'm giving you all my points for this guys. Please give me a real answer.

In the following questions, determine whether the equation has a solution, no solution, or an infinite number of solutions. Specify which, and then solve the equation if there is a solution.

7(x-5)=x+13

-6x=-5(x-1)-x

-4(x-2)=-2(x-17/2)

3-4x+5=2(8-2x)

2x+3=+2x

2x+3=2x+5

3x+9=2.5x+14

7(x-4)=4x+5

5x-20=-7x-20

3(2x+1)-4x=2x+3

2 Answers

3 votes

Answer and Step-by-step explanation:

7(x-5)=x+13

Distribute the 7, then solve for x.

7x - 35 = x + 13

6x = 48 (Added 35, subtracted x)

x = 8 (Divided by 6)

One solution

-6x=-5(x-1)-x

Distribute the -5, then combine like terms. Solve for x.

-6x = -5x + 1 - x (negative times negative equals positive)

-1 = 0 (Added 6x, subtracted the x from 1x, subtracted 1)

No solution

-4(x-2)=-2(x-17/2)

Distribute the -4 and -2, then solve for x.

-4x + 8 = -2x + 17 (negative times negative equals positive) (the 2's cancel out to be 17)

-9 = 2x (Added 4x, subtracted 17)

-9/2 = x

One solution

3 - 4x + 5 = 2(8 - 2x)

Distribute the 2, combine like terms. Solve for x.

8 - 4x = 16 - 4x

0 = 8

No solution

2x + 3= +2x

3 = 0

No solution

2x+3=2x+5

0 = 2

No solution

3x+9=2.5x+14

0.5x = 5

x = 10

7(x-4)=4x+5

7x - 28 = 4x + 5

3x = 33

x = 11

One solution

5x-20=-7x-20

12x = 0

x = 0

One solution

3(2x+1)-4x=2x+3

6x + 3 - 4x = 2x + 3

2x + 3 = 2x + 3

0 = 0

Infinite solutions (The reason why this one is infinite is because if you were to plug in any value for x, the result will equal itself, like the 0 = 0.

#teamtrees #WAP (Water And Plant)

User Melannie
by
4.5k points
3 votes

Answer:

i only know 1. is 8

and also 5. 0= −3

Explanation:

User Thammas
by
5.3k points