Solve the following equations.
1. 3n = 6 2. 2s = 10 3. 6x = 24
4. 5y = 20 5. 10t = 30 6. 7n = 35
3n = 6
n = 6/3
n = 2
2s = 10
s = 10/2
s = 5
I'm sure you can do the rest of these problems yourself.
I'll be glad to check your answers.
Thanks!
This is my answers from the rest of the problems.
6x = 24
x = 24/6
x = 4
5y = 20
y = 20/4
y = 4
10t = 30
t = 30/3
t = 3
7n = 35
n = 35/5
n = 5
All are right! :-)
To solve these equations, we need to find the value of the variable (represented by a letter) that satisfies the equation. To do that, we can isolate the variable by performing the same operation on both sides of the equation until the variable is alone on one side.
Let's solve each equation step by step:
1. 3n = 6
To solve for n, we need to isolate n. We can do this by dividing both sides of the equation by 3 since n is being multiplied by 3.
Dividing both sides by 3, we get:
3n/3 = 6/3
Simplifying, we have:
n = 2
So the solution to the equation 3n = 6 is n = 2.
2. 2s = 10
To solve for s, we need to isolate s. We can do this by dividing both sides of the equation by 2 since s is being multiplied by 2.
Dividing both sides by 2, we get:
2s/2 = 10/2
Simplifying, we have:
s = 5
So the solution to the equation 2s = 10 is s = 5.
3. 6x = 24
To solve for x, we need to isolate x. We can do this by dividing both sides of the equation by 6 since x is being multiplied by 6.
Dividing both sides by 6, we get:
6x/6 = 24/6
Simplifying, we have:
x = 4
So the solution to the equation 6x = 24 is x = 4.
4. 5y = 20
To solve for y, we need to isolate y. We can do this by dividing both sides of the equation by 5 since y is being multiplied by 5.
Dividing both sides by 5, we get:
5y/5 = 20/5
Simplifying, we have:
y = 4
So the solution to the equation 5y = 20 is y = 4.
5. 10t = 30
To solve for t, we need to isolate t. We can do this by dividing both sides of the equation by 10 since t is being multiplied by 10.
Dividing both sides by 10, we get:
10t/10 = 30/10
Simplifying, we have:
t = 3
So the solution to the equation 10t = 30 is t = 3.
6. 7n = 35
To solve for n, we need to isolate n. We can do this by dividing both sides of the equation by 7 since n is being multiplied by 7.
Dividing both sides by 7, we get:
7n/7 = 35/7
Simplifying, we have:
n = 5
So the solution to the equation 7n = 35 is n = 5.
The solutions to the given equations are:
1. n = 2
2. s = 5
3. x = 4
4. y = 4
5. t = 3
6. n = 5