Question

(4х+1)-(7х+2)=х и 12х-9= с+5

Answer 1

4x+1-7x-2=x

-3x-1-x=0

-4x=1

x=-0,25

12x-9=c+5

12x=c+5+9

12x=c+14

x=c/12+7/6,c∈R

Answer 2

To solve the equations, let's start with the first one:

(4х + 1) - (7х + 2) = х

Step 1: Remove the parentheses by distributing the negative sign:

4х + 1 - 7х - 2 = х

Step 2: Combine like terms:

(4х - 7х) + (1 - 2) = х

Step 3: Simplify further:

-3х - 1 = х

Step 4: Move all terms containing 'x' to one side of the equation:

-3х - х = 1

Step 5: Combine the 'x' terms:

-4х = 1

Step 6: Isolate 'x' by dividing both sides by -4:

x = 1 / -4

x = -1/4

Now, let's move on to the second equation:

12х - 9 = с + 5

Step 1: Move the constant term to the other side by adding 9 to both sides:

12х - 9 + 9 = с + 5 + 9

Step 2: Simplify:

12х = с + 14

Step 3: If you need to isolate 'с', subtract '12x' from both sides:

12х - 12х = с + 14 - 12х

0 = с + 14 - 12х

Step 4: Simplify further:

с = 14 - 12х

That's the solution for the second equation in terms of 'x'. If you have a specific value for 'x', you can substitute it into the equation to find the corresponding value of 'с'.