One method for solving 3(x-4)=18 is the first divide by 3, then add 4. Which method below would also result in the correct answer?
One possible method below would also result in the correct answer:
First, distribute the 3 to both terms inside the parentheses:
3(x-4) = 18
3x - 12 = 18
Next, isolate the variable by adding 12 to both sides:
3x = 30
Finally, divide both sides by 3 to solve for x:
x = 10
When solving the equation -1/2(x+10)=-3, identify the operation that should be done first.
When solving the equation -1/2(x+10)=-3, the operation that should be done first is distributing the -1/2 to both terms inside the parentheses.
subtract 10
multiply by -2
add 10
divide by -2
To solve the equation -1/2(x+10)=-3, follow these steps in order:
1. Subtract 10 from both sides:
-1/2(x+10) - 10 = -3 - 10
-1/2(x+10) - 10 = -13
2. Multiply by -2 to both sides to get rid of the fraction:
-2 * (-1/2(x+10) - 10) = -2 * (-13)
x + 10 * (-2) = 26
x - 20 = -26
3. Add 20 to both sides to isolate x:
x - 20 + 20 = -26 + 20
x = -6
So, the solution to the equation -1/2(x+10)=-3 is x = -6.
Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Identify the first step is solving this problem arithmetically, which would find the cost of one adult and one child ticket.
The first step in solving this problem arithmetically would be to set up a system of equations to represent the given information.
Let's denote the cost of an adult ticket as "A" and the cost of a child ticket as "C".
From the given information, we know that:
3A + 3C = 75 (equation 1)
and
C = A - 3
To find the cost of one adult and one child ticket, we need to solve this system of equations. The first step in doing that would be to substitute the value of "C" from equation 2 into equation 1.
Same question
The first step to solving this problem algebraically is to write an equation: 3(x+x-3)=75, where x represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable.
add 3 to 75
Distribute values over the variables
Divide 75 by 3
Combine like terms in parentheses
The next step after writing the equation 3(x+x-3)=75 is to distribute the values over the variables. This involves multiplying the 3 to both terms inside the parentheses:
3x + 3(x-3) = 75
After distributing the values, the equation becomes 3x + 3x - 9 = 75.
The next step would be to combine like terms in the equation. In this case, we have 3x + 3x, which simplifies to 6x:
6x - 9 = 75
Now, to solve for the variable x, we would isolate it by performing additional arithmetic operations.