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Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-x + 3y = 4
-7x + 12y = 12

Sagot :

Space

Answer:

One solution

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 by graphing

Step-by-step explanation:

The solution set of the systems of equations would be where the 2 lines intersect. If the 2 lines do not intersect (i.e they are parallel lines), then they will have no solution. If the 2 lines look exactly the same, then they will have infinitely many solutions.

From the graph, we see that the lines intersect once. Therefore, the systems has 1 solution.

View image Space
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