What is the solution to this system of equations. Use any method you choose 4x + 3y = 37
y = x - 4

(7, 3)

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 Subtract Property of Equality

Algebra I

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

Step-by-step explanation:

Step 1: Define Systems

4x + 3y = 37

y = x - 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                4x + 3(x - 4) = 37Distribute 3:                                                                                                    4x + 3x - 12 = 37Combine like terms:                                                                                       7x - 12 = 37[APE] Add 12 on both sides:                                                                           7x = 49[DPE] Divide 7 on both sides:                                                                        x = 7

Step 3: Solve for y

Define equation:                                                                                             y = x - 4Substitute in x:                                                                                                y = 7 - 4Subtract:                                                                                                           y = 3

Answer:

$4034.40

step-by-step explanation:

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40