\( -8 x+5 \) and \( -5 x+10 \)

It looks like you've provided two linear expressions: 1. \( y = -8x + 5 \) 2. \( y = -5x + 10 \) If you're looking to **find the point of intersection** between these two lines, you can do so by setting the equations equal to each other and solving for \( x \). Here's how you can do it step-by-step: ### Step 1: Set the Equations Equal to Each Other \[ -8x + 5 = -5x + 10 \] ### Step 2: Solve for \( x \) First, get all the \( x \)-terms on one side and the constant terms on the other: \[ -8x + 5 = -5x + 10 \] \[ -8x + 5x = 10 - 5 \] \[ -3x = 5 \] \[ x = \frac{5}{-3} = -\frac{5}{3} \] ### Step 3: Substitute \( x \) Back into One of the Original Equations to Find \( y \) You can use either equation. Let's use \( y = -5x + 10 \): \[ y = -5\left(-\frac{5}{3}\right) + 10 \] \[ y = \frac{25}{3} + 10 \] \[ y = \frac{25}{3} + \frac{30}{3} = \frac{55}{3} \] ### Step 4: Write the Point of Intersection \[ \left( -\frac{5}{3},\ \frac{55}{3} \right) \] ### Visualization To better understand the intersection, here's a quick visualization of both lines: - **Line 1:** \( y = -8x + 5 \) - **Line 2:** \( y = -5x + 10 \)  *(Replace with an actual graph if needed)* ### Summary - **Intersection Point:** \( \left( -\frac{5}{3},\ \frac{55}{3} \right) \) This is the point where both lines meet on the Cartesian plane. If you had a different question in mind regarding these expressions, feel free to provide more details!