Question

Determine if the following system of equations has no solutions, infinitely many

solutions or exactly one solution.
-x + 3y = 4
-7x + 12y = 12

Answer 1

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

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.