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Зх - у = 10
2х - y= 7

Sagot :

Space

Answer:

(3, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. 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

  1. Subtract 3x on both sides:                    -y = 10 - 3x
  2. Divide -1 on both sides:                         y = 3x - 10

Step 3: Redefine Systems

y = 3x - 10

2x - y = 7

Step 4: Solve for x

Substitution

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

Step 5: Solve for y

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