Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)
Answer:
The system that models the situation is:
The solution is:
(9, 6)
Step-by-step explanation:
We must write the equations as indicated in the problem.
The sum of twice a number and another number is 24
<em>a number:</em> x
<em>other number:</em> y
Then
The difference of twice the first number and the other number is 12
<em>first number: </em> x
<em>other number:</em> y
Then:
The system that models the situation is:
To solve the system we add both equations to find the value of x
---------------------
The solution is:
(9, 6)
The difference between properties of equality and properties of inequality that you need to take into account when you are solving equalities and inequalities is the effect that some operations have on the sign.
1) The multiplicative property of equality permits you to multiplicate both members (sides) on an equality times a factor and the equality will remain. But in an inequality, while the factor is positive the inequality will remain but when the factor is negative, the sign of the inequality will change.
2) The same is true about the division property:
3) When you use othe functions like absoulte value and square root you will also need to be attentive of the effect of the function on the sign of the equality,.
Answer:
it's the fourth one
Step-by-step explanation:
Solve all the problems using exponent rules and the last one equals 632
Let the number be x
2x-16=42
2x=42+16
2x= 58
x=29
not sure if it’s right!!
