blondie02
05.05.2020 •
Mathematics
Solve the system of equations
-5X + 4Y = 3
X = 2Y - 15
X=
Y=
Solved
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Ответ:
x = 9
y = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-5x + 4y = 3
x = 2y - 15
Step 2: Solve for y
Substitution
Substitute in x [1st Equation]: -5(2y - 15) + 4y = 3[Distributive Property] Distribute -5: -10y + 75 + 4y = 3Combine like terms: -6y + 75 = 3[Subtraction Property of Equality] Subtract 75 on both sides: -6y = -72[Division Property of Equality] Divide -6 on both sides: y = 12Step 3: Solve for x
Substitute in y [2nd Equation]: x = 2(12) - 15Multiply: x = 24 - 15Subtract: x = 9Ответ:
not right now but later
Step-by-step explanation: