Answer:
Hi There the correct answer is {x,y} = {-1,-10}
System of Linear Equations entered :
[1] 3x - y = 7
[2] 4x - 2y = 16
Graphic Representation of the Equations :
y + 3x = 7 -2y + 4x = 16
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 3x - 7
// Plug this in for variable y in equation [2]
[2] 4x - 2•(3x-7) = 16
[2] -2x = 2
// Solve equation [2] for the variable x
[2] 2x = - 2
[2] x = - 1
// By now we know this much :
x = -1
y = 3x-7
// Use the x value to solve for y
y = 3(-1)-7 = -10
Solution :
{x,y} = {-1,-10}
Hope it helps!
The present age of father is 86 years old and present age of son is 48 years old
<em><u>Solution:</u></em>
Given that, a father is now 38 years older than his son
Ten years ago he was twice as old as his son
Let "x" be the age of son now
Therefore, from given,
Father age now = 38 + age of son now
Father age now = 38 + x
<em><u>Ten years ago he was twice as old as his son</u></em>
Age of son ten years ago = age of son now - 10
Age of son ten years ago = x - 10
Age of father ten years ago = 38 + x - 10
Then we get,
Age of father ten years ago = twice the age of son ten years ago
38 + x - 10 = 2(x - 10)
28 + x = 2x - 20
2x - x = 28 + 20
x = 48
Thus son age now is 48 years old
Father age now = x + 38 = 48 + 38 = 86
Thus present age of father is 86 years old and present age of son is 48 years old
Fruit adult = 26
fruit total = 52
vegetable child = 14
total child = 40
total adult = 50
Answer:
see below
Step-by-step explanation:
In addition to the exponent rule ...
(a^b)^c = a^(bc)
it is helpful to know the first few powers of some small integers.
5^3 = 125
9^2 = 81
4^3 = 64
2^6 = 64
__
- 125^3 = (5^3)^3 = 5^(3·3) = 5^9
- 81^7 = (9^2)^7 = 9^(2·7) = 9^14
- (1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
- (1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18
Answer:
200
Step-by-step explanation:
