162k views
4 votes
Y=3x-2y=2x-5how to solve this problem

User Wojtow
by
4.8k points

1 Answer

2 votes

y=3x-2

y=2x-5

we have a system of linear equations

step 1

solve by substitution

equate both equations

3x-2=2x-5

solve for x

3x-2x=-5+2

x=-3

Find teh value of y

y=3(-3)-2

y=-11

the solution is the point (-3,-11)

Note: if you substitute the value of x in the second equation, the value of y must be equal

Verify

y=2(-3)-5

y=-11 ----> is ok

therefore

the answer is

x=-3 and y=-11 is the solution of the system

User Dheeraj Singh
by
4.3k points