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Sagot :
let x person in 1 van and y persons in 1 bus
so for school A took 2x+2y=106
for school B took 8x+y=151
make a system
[tex] \left \{ {{2x+2y=106} \atop {8x+y=151}} \right. [/tex]
solve it:
multiply second equation by 2
2*8x+2*y=2*151
16x+2y=302
second equation minus first we have:
16x+2y-2x-2y=302-106
14x=196
x=14 - persons in 1 van
to find y put x=14 in equation:
2x+2y=106
2*14+2y=106
2y=106-28
2y=78
y=39
Answer: 1 van can carry 14persons, 1 bus can carry 39 persons
so for school A took 2x+2y=106
for school B took 8x+y=151
make a system
[tex] \left \{ {{2x+2y=106} \atop {8x+y=151}} \right. [/tex]
solve it:
multiply second equation by 2
2*8x+2*y=2*151
16x+2y=302
second equation minus first we have:
16x+2y-2x-2y=302-106
14x=196
x=14 - persons in 1 van
to find y put x=14 in equation:
2x+2y=106
2*14+2y=106
2y=106-28
2y=78
y=39
Answer: 1 van can carry 14persons, 1 bus can carry 39 persons
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