1) 7 - 3x = 4x + 3
First, let's combine like terms by moving the variables to one side of the equation and the constants to the other side:
7 - 3 = 4x + 3 + 34 = 4x + 6
Next, let's isolate the variable by subtracting 6 from both sides:
4 - 6 = 4x-2 = 4x
Finally, divide by 4 to solve for x:
-2/4 = xx = -1/2
Therefore, the solution is x = -1/2.
2) -3(2y + 7) - 1 = 12
First, distribute the -3 to both terms inside the parentheses:
-6y - 21 - 1 = 12
Combine like terms:
-6y - 22 = 12
Next, add 22 to both sides to isolate the variable:
-6y = 34
Lastly, divide by -6 to solve for y:
y = -34/6y = -17/3
Therefore, the solution is y = -17/3.
1) 7 - 3x = 4x + 3
First, let's combine like terms by moving the variables to one side of the equation and the constants to the other side:
7 - 3 = 4x + 3 + 3
4 = 4x + 6
Next, let's isolate the variable by subtracting 6 from both sides:
4 - 6 = 4x
-2 = 4x
Finally, divide by 4 to solve for x:
-2/4 = x
x = -1/2
Therefore, the solution is x = -1/2.
2) -3(2y + 7) - 1 = 12
First, distribute the -3 to both terms inside the parentheses:
-6y - 21 - 1 = 12
Combine like terms:
-6y - 22 = 12
Next, add 22 to both sides to isolate the variable:
-6y = 34
Lastly, divide by -6 to solve for y:
y = -34/6
y = -17/3
Therefore, the solution is y = -17/3.