Answer:
x=15
Step-by-step explanation:
This is a simultaneous equation
2x-3y=45 ------------------------------ equation i
x+y=10 -------------------------------equation ii
from equation ii
x+y=10
make x the subject of the matter
we have,
x=10-y
in equation i
substitute x for 10-y
2x-3y=45----------------------i
since x=10-y
we have,
2(10-y) - 3y=45
20-2y=3y=45
collect like terms
-2y-3y=45-20
-5y=25
divide both sides by -5
we have y=-5
substitute y for-5 in equation i
x+y=10
x+-5=10
collect like terms
x=10+5
x=15
therefore
x=15
Check the picture below.
of course, that's the slope simplified, now, taking a peek at the non-simplified slopes that are shaded, the larger triangle will have a larger "run" and a larger "rise" and thus a larger slope than the smaller one.
So we can say that from the origin to A, the non-simplified slope is larger than from A to B.
40% is the answer because 6/15 = 0.4