Answer:
x=1 and y=−2
Step-by-step explanation:
Multiply the first equation by 9,and multiply the second equation by -8.
9(−7x−8y=9)
−8(4x−9y=22)
Becomes:
−63x−72y=81
−32x+72y=−176
Add these equations to eliminate y:
−95x=−95
Then solve−95x=−95for x:
−95x
−95
=
−95
−95
(Divide both sides by -95)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−7x−8y=9
Substitute1forxin−7x−8y=9:
(−7)(1)−8y=9
−8y−7=9(Simplify both sides of the equation)
−8y−7+7=9+7(Add 7 to both sides)
−8y=16
−8y
−8
=
16
−8
(Divide both sides by -8)
y=−2
x+3(x-5)=9 Substitute y=x-5 into every y into the first equation and solve for x
x+3x-15=9
4x=24
x=6
Substitute x into any equation and then solve for y.
y=(6)-5=1
x=6, y=1
Hope that helps!
T-6≤8 would be the answer
Answer:
100 silver coins and 175 bronze
Step-by-step explanation:
let x be the number of silver coins and y the number of bronze coins.
Worth of these coins together = 6x/(5)+0.08/(10)y
=1.2x+0.008y
Weight of one silver coin = 125/5 = 25 gm
and one bronze coin = 500/10 = 50 gms.
Weight of these coins together = 25x + 50y
Equate these two items i.e. value and weight to actuals given.
i.e. 1.2x+0.08y = 134 and ... i
25x+50y = 11 kg 250 gm = 11250 gms. ... ii
Divide the second equation by 25
x+2y = 450 ... iii
Multiply I equation by 25
30x+2y =3350 ... iv
iii-iv gives -29x = -2900 or
x =100
Substitute in x+2y = 450
2y = 350 or y =175
<span>find the coordinates of the middle point of the diameter
</span><span>center=((1+6)/2;(6+3)/2)
</span><span>coordinates of P =(3.5,4.5).
</span>no 5 option is right
hope it helps
