Answer:
(-1, 5.5)
Step-by-step explanation:
There are a number of techniques that can be used to solve a system of linear equations. Some of these techniques include;
Elimination method
Substitution method
Graphical method
In the graphical approach, we simply graph the linear equations on a cartesian plane. The solution to the system of equations is the co-ordinate of the point of intersection of the equations.
I use desmos graphing tool to graph the two equations;
y = -1/2x + 5
y = 1/2x + 6
From the attachment below, we can see that the lines intersect at (-1, 5.5)
Therefore, the solution to the given system of equations is (-1, 5.5)
Answer:
$4.80
Step-by-step explanation:
Make a proportion
$12 for 2.5 pounds, and $x for 1 pound
12/2.5=x/1
x/1 is equivalent to x
12/2.5=x
Divide
x=4.8
So, one pound of peanuts costs $4.80
Answer:
42,44,46
Step-by-step explanation:
we first divide the 132 by the 3 which gives 44
since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation
(44-2),44,(44+2)
42,44,46
we can check whether the above numbers are correct by adding to see whether we get 132
42+44+46=132 which are consecutive even numbers
For the years 0 through 24 the profit is either zero or a positive number, so the shop is not in debt for those years.
Answer: A. [0, 24]
Answer: e. Substitution Property
g. Substitution Property
Step-by-step explanation: