MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

1# There are many solutions for the equation 2x - x + 7 = x + 3 + 42# There is no solution for the equation -2(x + 1) = -2x + 53# There is one solution for the equation 4x + 2x + 2 = 3x - 7Step-by-step explanation:The solution of an equation of one variable isOne solution if the variable in the left hand side equal to a number in the right hand sideNo solution if the variable disappears and the left hand side not equal to the right hand sideMany solutions if the variable disappears and the left hand side equal to the right hand side1#∵ 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 solutionsThere are many solutions for the equation 2x - x + 7 = x + 3 + 42#∵ -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 solutionThere is no solution for the equation -2(x + 1) = -2x + 53#∵ 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 solutionThere is one solution for the equation 4x + 2x + 2 = 3x - 7Learn more:You can learn more about the solutions of the equations in brainly.com/question/1626495#LearnwithBrainly