Question

A)x+3=3x-7 б)3-x=1+x

Answer 1

A)x+3=3x-7
x-3x=-7-3
-2x=-10
2x = 10
x = 5

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

Answer 2

a) To solve the equation x + 3 = 3x - 7, we'll isolate the variable x on one side of the equation. Here are the steps:

x + 3 = 3x - 7

First, let's simplify the equation by combining like terms:

x + 3 - x = 3x - 7 - x 3 = 2x - 7

Next, let's isolate the term with x by moving the constant term to the other side:

3 + 7 = 2x - 7 + 7 10 = 2x

Finally, divide both sides of the equation by 2 to solve for x:

10/2 = 2x/2 5 = x

Therefore, the solution to the equation x + 3 = 3x - 7 is x = 5.

b) Similarly, let's solve the equation 3 - x = 1 + x:

3 - x = 1 + x

Let's simplify the equation by combining like terms:

3 - x - x = 1 + x - x 3 - 2x = 1

Next, let's isolate the term with x by moving the constant term to the other side:

3 - 1 = 1 - 2x 2 = -2x

Now, divide both sides of the equation by -2 to solve for x:

2/-2 = -2x/-2 -1 = x

Therefore, the solution to the equation 3 - x = 1 + x is x = -1.