Mathematics, 07.04.2021 21:20 njx

Solve the following system of equations by substitution

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Answer from: iandadude

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 3

y = x + 2

Step 2: Solve for x

Substitution

Substitute in y: 2x + 3 = x + 2[Subtraction Property of Equality] Subtract x on both sides: x + 3 = 2[Subtraction Property of Equality] Subtract 3 on both sides: x = -1

Step 3: Solve for y

Substitute in x [Original Equation]: y = -1 + 2Add: y = 1

Answer from: noahwaitsowl357

x = -3, y = -1

Step-by-step explanation:

In order to solve an equation using substitution you need to make one of the variables values opposite of one another. For example, 4's opposite would be -4. Moving on, we multiply the bottom equation by -2. That gives us y = -2x -4. We combine like values and the remaing equation is y = -1. Finally, we can insert our value;-1 = x +2. We do inverse operations and we are left with x = -3.

Answer from: Quest

Arhombus is a quadrilateral.

Answer from: Quest

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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Solve the following system of equations by substitution
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