Answer:
(4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x - 3y = 5
4x + 2y = 18
<u>Step 2: Rewrite systems</u>
2x - 3y = 5
y = 9 - 2x
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: 2x - 3(9 - 2x) = 5
- Distribute -3: 2x - 27 + 6x = 5
- Combine like terms: 8x - 27 = 5
- Add 27 on both sides: 8x = 32
- Divide 8 on both sides: x = 4
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: 2x - 3y = 5
- Substitute: 2(4) - 3y = 5
- Multiply: 8 - 3y = 5
- Isolate <em>y</em> term: -3y = -3
- Isolate <em>y</em>: y = 1
And we have our final answer!
Unless the points are both the same point, there is only one straight line to connect them both. Any other line would either only touch one point or touch neither of the points.
Its 7 because 0 aint really an option and counting up my 5s, there is no 21 and if you count up by 7s u get 21. Hope this helps
