# What is the point of intersection, if any, of the lines represented by the following equations? 2x-5y=20 y=3x+22

What is the point of intersection, if any, of the lines represented by the following equations?
2x-5y=20
y=3x+22
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davonliefI
Step 1
Point of intersection of two linear equations is represented by the solution of the system of equations.
Step 2
Given equations, 2x−5y=20 ……(i)
y=3x+22 ⋯⋯(ii)
Substituting the value of y from (ii) in (i), we get
2x−5(3x+22)=20
2x−15x−110=20
-13x=20+110
-13x=130
x=−10 …… Substituting in (i)
y=3(−10)+22
y=−8
The point of intersection is (-10,-8).

Jeffrey Jordon

Answer is given below (on video)