X+2y=13
3x-5y=6
what is (x,y)?
2 answers:
Answer:
(7, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x + 2y = 13
3x - 5y = 6
<u>Step 2: Rewrite Systems</u>
x + 2y = 13
- Subtract 2y on both sides: x = 13 - 2y
<u>Step 3: Redefine Systems</u>
x = 13 - 2y
3x - 5y = 6
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 3(13 - 2y) - 5y = 6
- Distribute 3: 39 - 6y - 5y = 6
- Combine like terms: 39 - 11y = 6
- Isolate <em>y</em> term: -11y = -33
- Isolate <em>y</em>: y = 3
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define equation: x + 2y = 13
- Substitute in <em>y</em>: x + 2(3) = 13
- Multiply: x + 6 = 13
- Isolate <em>x</em>: x = 7
Answer:
x+2y=13
Step 1: Add -2y to both sides.
x+2y+−2y=13+−2y
x=−2y+13
Answer:
x=−2y+13
Step 1: Add 5y to both sides.
3x−5y+5y=6+5y
3x=5y+6
Step 2: Divide both sides by 3.
3x
3
=
5y+6
3
x=
5
3
y+2
Answer:
x=
5
3
y+2
Step 1: Add -3x to both sides.
3x−5y+−3x=6+−3x
−5y=−3x+6
Step 2: Divide both sides by -5.
−5y
−5
=
−3x+6
−5
y=
3
5
x+
−6
5
Answer:
y=
3
5
x+
−6
5
Step-by-step explanation:
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this cant be possible like what?
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if so i would say its =-1 bc everytime u times by -1 its gonna be the same. i dont get this sorry