Question

Equations in Slope-Intercept Form:

First Equation: Already in y = mx + b form.
Second Equation: Rearrange it to get y on one side.
Summarized Equations:

Equation 1: y = x - 1
Equation 2: y = x - 1.5
Graphing the Lines:

Equation 1: Slope = 1, y-intercept = -1. (Crosses (0, -1) and (1, 0))
Equation 2: Slope = 1, y-intercept = -1.5. (Crosses (0, -1.5) and (1, -0.5))
Finding the Intersection:

Set the two equations equal to each other:

x - 1 = x - 1.5
This leads to a contradiction (no solution).
Conclusion:

The lines are parallel and will never meet, so there is no solution to this system of equations.

can you make thiis less advanced and use less words and only give me the work to the solution and the solutution

Answer 1

**Equations:**

1. \( y = x - 1 \)
2. \( y = x - 1.5 \)

**Finding Intersection:**

Set them equal:

\( x - 1 = x - 1.5 \)

**Simplifying:**

- Subtract \( x \) from both sides:
\(-1 = -1.5\)

**Conclusion:**

No solution. The lines are parallel.