Use the substitution method to solve the system of equations:

2x – 5y = –14

x – 2y = –5

2x – 5y = –14

x – 2y = –5

Solve for 1 variable

solve for x in second

add 2y to both sides

x=2y-5

sub 2y-5 for x in first equation

2(2y-5)-5y=-14

4y-10-5y=-14

-10-y=-14

add 10 to both sides

-y=-4

times -1

y=4

sub

x=2y-5

x=2(4)-5

x=8-5

x=3

x=3

y=4

(3,4)

After using the substitution method to solve the system of equations, I’ve acquired the values of x and y which is 3 and 4 respectively or (3, 4). I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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