Determine if each system of equations has no solution, one solution, or infinitely many solutions. Select the correct answer.

a. \(\text{y} = 3\text{x} - 1\)

\(\text{y} = -2\text{x} + 4\)

b. \(\text{y} = 4\text{x} - 2\)

\(\text{y} = 4\text{x} + 5\)

c. \(\text{y} = -\text{x} - 3\)

\(\text{y} = \text{x}\)

Yolanda scored 3 times as many goals as Xander. Xander scored 4 fewer goals than Yolanda. The number of goals scored by each person can be represented by the system of equations below.

\(\text{y} = 3\text{x}\)

\(\text{y} = \text{x} + 4\)

Graph these equations on the coordinate plane.

What is the solution to the system of equations? What does this situation represent?

\(5\text{x} + 3\text{y} = 15\) for y when x = 0.

\(6\text{x} - 2\text{y} = 10\) for y when x = 2.

\(\cfrac{1}{2}\text{x} + 3\text{y} = 4\) for x when y = 6.

\(\cfrac{3}{4}\text{x} + 3\text{y} = 12\) for x when y = 5.

\(7\text{x} - 4\text{y} = 20\) for y when x = 3.

\(7\text{x} - 4\text{y} = 20\) for y when x = 5.