solve each equation and verify the results
5(a-3)=20
-2(n+3)=-10
7=4(2+y)
-2(n+3)=-6
No actually, we just learnt these and I 've been having trouble gripping how to do them! sorry. I just needed help understanding the steps on how to do it. So no I actually don't know how to do them yet and was trying to get a better idea on the procedure needed to solve these.
But thank you anyways I think I get it now!!
1. 5(a-3) = 20.
Divide both sides by 5:
a-3 = 4
Add 3 to both sides:
a = 7.
To solve each equation, follow these steps:
1. Isolate the variable on one side of the equation.
2. Simplify the equation.
3. Solve for the variable.
4. Verify the result by substituting the solution back into the original equation.
Let's apply these steps to each equation:
1. 5(a-3) = 20
Step 1: Distribute the 5 on the left side of the equation.
5a - 15 = 20
Step 2: Move the constant term to the right side of the equation.
5a = 20 + 15
5a = 35
Step 3: Divide both sides by 5 to solve for 'a'.
a = 35/5
a = 7
Step 4: Verify the result by substituting 'a = 7' back into the original equation.
5(7 - 3) = 20
5(4) = 20
20 = 20
The result is true, so 'a = 7' is the correct solution.
2. -2(n + 3) = -10
Step 1: Distribute the -2 on the left side of the equation.
-2n - 6 = -10
Step 2: Move the constant term to the right side of the equation.
-2n = -10 + 6
-2n = -4
Step 3: Divide both sides by -2 to solve for 'n'.
n = -4 / -2
n = 2
Step 4: Verify the result by substituting 'n = 2' back into the original equation.
-2(2 + 3) = -10
-2(5) = -10
-10 = -10
The result is true, so 'n = 2' is the correct solution.
3. 7 = 4(2 + y)
Step 1: Distribute the 4 on the right side of the equation.
7 = 8 + 4y
Step 2: Move the constant term to the left side and the variable term to the right side.
7 - 8 = 4y
-1 = 4y
Step 3: Divide both sides by 4 to solve for 'y'.
y = -1 / 4
y = -0.25
Step 4: Verify the result by substituting 'y = -0.25' back into the original equation.
7 = 4(2 + (-0.25))
7 = 4(1.75)
7 = 7
The result is true, so 'y = -0.25' is the correct solution.
4. -2(n + 3) = -6
Step 1: Distribute the -2 on the left side of the equation.
-2n - 6 = -6
Step 2: Move the constant term to the right side of the equation.
-2n = -6 + 6
-2n = 0
Step 3: Divide both sides by -2 to solve for 'n'.
n = 0 / -2
n = 0
Step 4: Verify the result by substituting 'n = 0' back into the original equation.
-2(0 + 3) = -6
-2(3) = -6
-6 = -6
The result is true, so 'n = 0' is the correct solution.
By following these steps and verifying the results, you can solve and verify each equation.
These are fundamental easy equations.
You absolutely MUST know how to do these
I will do the 2nd one:
-2(n+3)=-10
-2n - 6 = -10 , I expanded
-2n = -4 , I added 6 to both sides
n = 2 , I divided both sides by -2