There are 8 students in each class and there are 5 classes
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Answer:
b = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
8b - 12 = 5b
<u>Step 2: Solve for </u><em><u>b</u></em>
- Subtract 5b on both sides: 3b - 12 = 0
- Add 12 on both sides: 3b = 12
- Divide 3 on both sides: b = 4
<u>Step 3: Check</u>
<em>Plug in b to verify it's a solution.</em>
- Substitute: 8(4) - 12 = 5(4)
- Multiply: 32 - 12 = 20
- Subtract: 20 = 20
And we have our final answer!
Answer:
x = -6/5
y =7/5
Step-by-step explanation:
2x + y = - 1
x - 2y = - 4
Multiply the first equation by 2 so we can eliminate y
2(2x + y = - 1)
4x + 2y = -2
Add this to the second equation
4x + 2y = -2
x - 2y = - 4
---------------------
5x + 0y = -6
Divide by 5
5x/5 = -6/5
x = -6/5
Multiply the second equation by -2 so we can eliminate x
-2(x - 2y = - 4)
-2x+4y = 8
Add this to the first equation
2x + y = - 1
-2x+4y = 8
---------------------
0x + 5y = 7
Divide by 5
5y/5 = 7/5
y =7/5
