Let {X / 4 = Y / 5,3x-2y = 10} solve the system of equations (let K be an unknown number)

Let {X / 4 = Y / 5,3x-2y = 10} solve the system of equations (let K be an unknown number)


Let X / 4 = Y / 5 = K
So x = 4K, y = 5K
3x-2y=12k-10k=2k=10
So k = 5
x=4k=20
y=5k=25



In the system of equations 2x + y = m 3x-2y = - 9, if the unknowns X and y satisfy x + Y > 0, the value range of M is obtained


2x+y=m ①
3x-2y=-9 ②
2 × 1 + 2 is 7x = 2m-9
∴x=(2m-9)÷7
2 × 2 - 3 × 1 is - 7Y = - 18 - 3M
∴y=(18+3m)÷7
∴x+y=(9+5m)÷7>0
Ψ m > 9 / 5