Question 948239
We are given
2x = 3y
x + 2y = 7
solve second equation for x
x = -2y +7
now substitute for x in first equation
2(-2y+7) = 3y
-4y+14 = 3y
7y = 14
y = 2
x = -2(2) +7
x = -4 +7 = 3
therefore x=3, y=2
check answer in first equation
2(3) = 3(2)
6 = 6
our answer checks