Solve the system of equations.
2x - 5y = 3
x – 3y = 1

(4, 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 3 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides )

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

2(1 + 3y) - 5y = 3 ← distribute left side

2 + 6y - 5y = 3, that is

2 + y = 3 ( subtract 2 from both sides )

y = 1

Substitute y = 1 into (3) for corresponding value of x

x = 1 + (3 × 1) = 1 + 3 = 4

Solution is (4, 1 )

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m