Question

Solve the system.

y=6x-1

y=3x-4

The solution is _____
.

Explain your choice of method.

Answer 1

(-1, -7)

Explanation:

Solve by graphing.

Graph the two equations together.

The lines intercept at (-1, -7).

Hope this helps.

Answer 2

Solution: (-1, -7)

Explanation:

6x - 1 = 3x - 4

Subtract 3x from both sides;

3x - 1 = -4

Add 1 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Substitute x into the equation;

y = 3(-1) - 4

y = -3 - 4

y = -7