We can see that the lines intersect at: (-5,-3)
Step-by-step explanation:
Given system of equations is:
[tex]y = \frac{2}{5}x-1\ \ \ \ Eqn1\\2x-3y+1 = 0\ \ \ \ Eqn2[/tex]
Lets convert the second equation in the same form as the first equation
[tex]2x-3y+1 = 0[/tex]
Adding 3y on both sides
[tex]2x-3y+1+3y = 0+3y\\2x+1 = 3y\\3y= 2x+1[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{2x+1}{3}\\y = \frac{2}{3}x+\frac{1}{3}\\[/tex]
The graph of equation can be plotted using manual graphing or any online graphing calculator
We will use the Desmos online graphing calculator to graph the equations (Picture attached)
We can see that the lines intersect at: (-5,-3)
Keywords: Graphing, linear equations
Learn more about linear equations at:
- brainly.com/question/750742
- brainly.com/question/7419893
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