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rydro6019
01.06.2021 •
Mathematics
What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4
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Ответ:
(2, 1)
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
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x + y = 5
3x - 2y = 4
Step 2: Rewrite Systems
Manipulate 1st equation
[Subtraction Property of Equality] Subtract 2x on both sides: y = 5 - 2xStep 3: Solve for x
Substitution
Substitute in y [2nd Equation]: 3x - 2(5 - 2x) = 4[Distributive Property] Distribute -2: 3x - 10 + 4x = 4[Addition] Combine like terms: 7x - 10 = 4[Addition Property of Equality] Add 10 on both sides: 7x = 14[Division Property of Equality] Divide 7 on both sides: x = 2Step 4: Solve for y
Substitute in x [Modified 1st Equation]: y = 5 - 2(2)Multiply: y = 5 - 4Subtract: y = 1Ответ:
1436.03 units³
Step-by-step explanation:
The formula for the volume of a sphere of radius r is
V = (4/3)πr³. We'll use 3.14 for π.
Then:
V = (4/3)(3.14)(7 units)³. To the nearest hundredth: 1436.03 units³