Answer:
4:1
Step-by-step explanation:
a — b = 3
then a= 3+b
a + b = 5
3+b +b = 5
3+2b=5
2b=5-3
2b=2
b=1
a= 3+b
a=3+1=4
a:b= 4:1
Answer:
try 3x=30 or 10
Step-by-step explanation:
Answer:
(1,5)
Step-by-step explanation:
y = 4x+1
y = 2x+3
Set the two equations equal
4x+1 = 2x+3
Subtract 2x from each side
4x+1-2x = 2x+3-2x
2x+1 = 3
Subtract 1 from each side
2x+1-1 =3-1
2x=2
Divide by 2
2x/2 =2/2
x =1
Now find y
y =4x+1 = 4(1)+1 =4+1=5
(1,5)
Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
