Y = x - 4
y = 4x + 2
x=
y =

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Substitute in y:                    x - 4 = 4x + 2Isolate x terms:                   -4 = 4x + 2Isolate x term:                     -6 = 4xIsolate x:                              -3/2 = xRewrite:                               x = -3/2

Step 3: Solve for y

Define equation:                    y = x - 4Substitute in x:                       y = -3/2 - 4Subtract:                                 y = -11/2

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.