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).

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).