Зх - у = 10
2х - y= 7

(3, -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 - y = 10

2x - y =  7

Step 2: Rewrite Systems

3x - y = 10

Subtract 3x on both sides:                    -y = 10 - 3xDivide -1 on both sides:                         y = 3x - 10

Step 3: Redefine Systems

y = 3x - 10

2x - y = 7

Step 4: Solve for x

Substitution

Substitute in y:                    2x - (3x - 10) = 7Distribute -1:                        2x - 3x + 10 = 7Combine like terms:           -x + 10 = 7Isolate x term:                     -x = -3Isolate x:                              x = 3

Step 5: Solve for y

Define equation:                    3x - y = 10Substitute in x:                       3(3) - y = 10Multiply:                                  9 - y = 10Isolate y term:                         -y = 1Isolate y:                                 y = -1

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