Question

Use the substitution method to solve the system of equations:

2x – 5y = –14
x – 2y = –5

Answer 1

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)

Answer 2

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.