Question

how many solutions are there to these equations plz I need help #1. 2x-x+7=x+3+4. #2. -2(x+1)=-2x+5 #3. 4x+2x+2=3x-7​

Answer 1

1# There are many solutions for the equation 2x - x + 7 = x + 3 + 4

2# There is no solution for the equation -2(x + 1) = -2x + 5

3# There is one solution for the equation 4x + 2x + 2 = 3x - 7

Step-by-step explanation:

The solution of an equation of one variable is

• One solution if the variable in the left hand side equal to a number in the right hand side
• No solution if the variable disappears and the left hand side not equal to the right hand side
• Many solutions if the variable disappears and the left hand side equal to the right hand side

1#

∵ 2x - x + 7 = x + 3 + 4

- Add the like terms in each side

∴ (2x - x) + 7 = x + (3 + 4)

∴ x + 7 = x + 7

- Subtract x from both sides

∴ 7 = 7

∵ Left hand side = right hand side

∴ x can be any number

∴ The equation has many solutions

There are many solutions for the equation 2x - x + 7 = x + 3 + 4

2#

∵ -2(x + 1) = -2x + 5

- Simplify the left hand side

∴ -2(x) + -2(1) = -2x + 5

∴ -2x - 2 = -2x + 5

- Add 2x for both sides

∴ -2 = 5

∵ Left hand side ≠ right hand side

∴ x can not be any value

∴ The equation has no solution

There is no solution for the equation -2(x + 1) = -2x + 5

3#

∵ 4x + 2x + 2 = 3x - 7

- Add the like terms in the left hand side

∴ (4x + 2x) + 2 = 3x - 7

∴ 6x + 2 = 3x - 7

- Subtract 3x from both sides

∴ 3x + 2 = -7

- Subtract 2 from both sides

∴ 3x = -9

- Divide both sides by 3

∴ x = -3

∵ x has a value

∴ The equation has one solution

There is one solution for the equation 4x + 2x + 2 = 3x - 7

Learn more:

You can learn more about the solutions of the equations in brainly.com/question/1626495

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