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LittleNerd2852
04.02.2021 •
Mathematics
6x-5y=15 x=y+3 find x and y
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Ответ:
(0, -3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
6x - 5y = 15
x = y + 3
Step 2: Solve for y
Substitution
Substitute in x: 6(y + 3) - 5y = 15Distribute 6: 6y + 18 - 5y = 15Combine like terms: y + 18 = 15[Subtraction Property of Equality] Subtract 18 on both sides: y = -3Step 3: Solve for x
Define original equation: x = y + 3Substitute in y: x = -3 + 3Add: x = 0Ответ:
12 121212121212121212