Chapter 13.9, Problem 5ST2

To determine

To find the intersection point of the lines $y=3x-4$ and $5x-2y=7$

Answer to Problem 5ST2

The intersection point of the lines $y=3x-4$ and $5x-2y=7$ is $(1,-1)$

Explanation of Solution

Given information :

There are two lines $y=3x-4$ and $5x-2y=7$ .

Graph:

Use graphing device (GeoGebra)

Step 1: Draw the line $y=3x-4$

Step 2: Draw the line $5x-2y=7$

The graph is obtained as:

  

Interpretation :

From the above graph, it can be observed that both the lines $y=3x-4$ and $5x-2y=7$ intersect at $(1,-1)$

Hence,

The intersection point of the lines $y=3x-4$ and $5x-2y=7$ is $(1,-1)$