*EASY* SOLVE WITH STEPS *WILL MARK BRAINLIEST*

(6, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 5y = 13

x + 4y = 10

Step 2: Rewrite Systems

x + 4y = 10

Subtract 4y on both sides:                    x = 10 - 4y

Step 3: Redefine Systems

3x - 5y = 13

x = 10 - 4y

Step 4: Solve for y

Substitution

Substitute in x:                    3(10 - 4y) - 5y = 13Distribute 3:                         30 - 12y - 5y = 13Combine like terms:           30 - 17y = 13Isolate y terms:                   -17y = -17Isolate y:                              y = 1

Step 5: Solve for x

Define equation:                    x + 4y = 10Substitute in y:                       x + 4(1) = 10Multiply:                                  x + 4 = 10Isolate x:                                 x = 6