Solve each system of eaquasions x+4y=4 -x+2y=8​

X + 4y = 4
-x + 2y = 8

x + 4y - x + 2y = 4 + 8

6y = 12

y = 2

x + 4(2) = 4
x + 8 = 4
x = -4

(x,y)
(-4,2)

(-4, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

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 systems

Step-by-step explanation:

Step 1: Define Systems

x + 4y = 4

-x + 2y = 8

Step 2: Rewrite Systems

x + 4y = 4

[Subtraction Property of Equality] Subtract 4y on both sides:                    x = 4 - 4y

Step 3: Redefine Systems

x = 4 - 4y

-x + 2y = 8

Step 4: Solve for y

Substitution

Substitute in x:                                                                                                 -(4 - 4y) + 2y = 8[Distributive Property] Distribute negative:                                                   -4 + 4y + 2y = 8Combine like terms:                                                                                        -4 + 6y = 8[Addition Property of Equality] Add 4 on both sides:                                    6y = 12[Division Property of Equality] Divide 6 on both sides:                                y = 2

Step 5: Solve for x

Define original equation:                                                                                x + 4y = 4Substitute in y:                                                                                                 x + 4(2) = 4Multiply:                                                                                                            x + 8 = 4[Subtraction Property of Equality] Subtract 8 on both sides:                       x = -4