Tim is solving this linear equation. He will need to perform two inverse operations. What inverse operations will he need to do to "undo" the equation to solve for t?
3t + 18 = - 39
To "undo" the equation and solve for t, Tim will need to perform the following inverse operations:
1. Subtract 18 from both sides of the equation to isolate the term with t:
3t + 18 - 18 = -39 - 18
3t = -57
2. Divide both sides of the equation by 3 to solve for t:
3t/3 = -57/3
t = -19
Therefore, Tim will need to subtract 18 and then divide by 3 to solve for t.
To "undo" the equation and solve for t, Tim will need to perform two inverse operations:
1. Subtracting 18 from both sides of the equation: This will undo the addition of 18 to the left side of the equation, leaving 3t isolated on the left side. The equation becomes 3t = -39 - 18.
2. Dividing by 3 on both sides of the equation: This will undo the multiplication of 3 to the t term, isolating t on the left side of the equation. The equation becomes t = (-39 - 18) / 3.
Therefore, to solve for t, Tim needs to subtract 18 from both sides of the equation and then divide both sides of the equation by 3.
To solve the linear equation 3t + 18 = -39 and find the value of t, Tim will need to perform two inverse operations to "undo" the equation. The inverse operations are used to isolate the variable t.
Here's how Tim can proceed:
1. Subtract 18 from both sides of the equation to eliminate the constant term on the left side:
3t + 18 - 18 = -39 - 18
3t = -57
Explanation: Subtracting 18 from both sides helps in isolating the variable term.
2. Divide both sides of the equation by 3 to isolate the variable t:
(3t) / 3 = (-57) / 3
t = -19
Explanation: Dividing both sides of the equation by 3 helps to undo the multiplication by 3 on the variable term.
After performing these two inverse operations, Tim will find that t = -19 is the solution to the linear equation 3t + 18 = -39.