The correct options are:
The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
Given equations are:

first of all we have to put the point in both equations to check if the point holds true on both equations
So,
Putting the point in the first equation

Putting the point in second equation

So,
The correct options are:
The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
Keywords: Linear Equations, Solution
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Answer:
Step-by-step explanation:
Area of a rectangle is given by:
....[1]
where
l is the length
w is the width of the rectangle respectively.
As per the statement:
the length of a rectangle is four times its width.
⇒
It is also given that: area of rectangle is 1024 cm square
Substitute the given values in [1] we have;
⇒
Divide both sides by 4 we have;
or
Taking square root both sides we have;
cm
Therefore, the width of the rectangle is, 16 cm
Answer: $352.48
Step-by-step explanation:
Hi, to answer this question we have to apply the formula:
A = P (1 + r)^t
Where
A: total balance after invest
P: principal amount invested
r = interest rate (in decimal form)
t = time (years)
Replacing with the values given:
500= P (1+0.06)^6
Solving for P:
500 = P (1.06)^6
500 / ( (1.06)^6)=P
500 / 1.4185 =P
$352.48= P