4x-3y=17......(1)
5x+4y=60......(2)
Multiply equation (1) by 4 and equation (2) by 3:-
16x - 12y = 68
15x + 12y = 180
Adding these 2 equations:_
31x = 248
x = 248/31 = 8
Now substitute x = 8 in equation (1):-
4(8) - 3y = 17
32-3y = 17
-3y = -15
y = -15/-3 = 5
So solution is x=8,y=5
Answer:
57.5
Step-by-step explanation:
The constant of proportionality is "k" in the equation ...
y = kx
It can be found from values of x and y using ...
k = y/x
For the given values, it is ...
k = (287.5 mi)/(5 h) = 57.5 mi/h
The constant of proportionality relating miles to hours is 57.5.
-1(18+4x)=8
Then you distribute
-18-4x=8
-4x=26
X= -6.5
x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
(2,-2) would be the answer I think