Answer:
x=-1
Step-by-step explanation:
-2x - 5 = -3
add 5 to both sides
-2x = 2
divide both sides by -2
x = -1
Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
Answer: (11, -1, -17)
Step-by-step explanation:
4x+y=3
4(-2)+y=3
-8+y=3
y=3+8
y=11
4x+y=3
4.1+y=3
4+y=3
y=3-4
y=-1
4x+y=3
4.5+y=3
20+y=3
y=3-20
y= -17
Answer:
rs 200
Step-by-step explanation:
Let cost price = x
At 30% profit; marked price of radio is 30% of x = (100% + 30%) = 130%x
Discount = rs 3%
Profit made = 30
Hence,
Marked price - discount = cost price + 30
130%x - 30 = x + 30
1.3x - 30 = x + 30
1.3x - x = 30 + 30
0.3x = 60
Divide both sides by 0.3
0.3x / 0.3 = 60/ 0.3
x =
1.3x / 1.3 = 60 / 1.3
x = 200
Hence, cost price = rs 200
I would say that y=x2+4x+8 simply because it matches what the original equation
