Answer:
(-2, 6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
4x - 2y = -20
7x + 2y = -2
<u>Step 2: Rewrite systems</u>
4x - 2y = -20
- Add 2y to both sides: 4x = 2y - 20
- Divide 4 on both sides: x = 1/2y - 5
<u>Step 3: Redefine systems</u>
x = 1/2y - 5
7x + 2y = -2
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 7(1/2y - 5) + 2y = =-2
- Distribute 7: 7/2y - 35 + 2y = -2
- Combine like terms: 11/2y - 35 = -2
- Add 35 to both sides: 11/2y = 33
- Isolate <em>y</em>: y = 6
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: 7x + 2y = -2
- Substitute in <em>y</em>: 7x + 2(6) = -2
- Multiply: 7x + 12 = -2
- Subtract 12 on both sides: 7x = -14
- Divide 7 on both sides: x = -2
<u>Step 6: Graph systems</u>
<em>Check the system.</em>
<h3>
Answer: 935 tons</h3>
Explanation:
We'll add the last two values to get the amount dug this year.
2786+2862 = 5648
So the farmer dug 5648 tons of potatoes this year.
Subtract that result from the first value given
6583 - 5648 = 935
The farmer dug 935 more tons last year compared to this year.
In other words, the amount has dropped by 935 tons when going from last year to this year.
Answer: −
2
±
√
13
Step-by-step explanation:
(-b±√(b²-4ac))/(2a)
Plug in and solve.
Answer:
1. 9x +12
2. -x = -10
3. x+25/2
4. 2 (x - 50)
5. 8x - 9
6. 32x - 21
7. 8x - 24
8. 2 (x - y)
9. x - 81/2
10. 72x - 200y
Step-by-step explanation:
hope this helps!! :)