The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
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y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
Firstly, we need to find the price of the blanket/bracelet after the 115% increase.
$10 x 1.15 = $15.20
Now for the 5.5% sales tax, which is applied the the new value of $15.20
$15.20 x 0.055 = 0.83
$15.20 + $0.83 = $16.03
The final cost for the blanket/bracelet is %16.03
Answer:
I Believe the answer is 300
Step-by-step explanation:
75% of 200 is 150 and Nina also read 150 pages. They said Nina only read 50% of her book so that means there's 150 more pages left.
I Hope this helped and i explained it well enough for you to understand
(Correct me if i'm wrong)
The pattern goes like this...
(1st letter from the beginning),(1st letter from the end),(2nd letter from the beginning),(2nd letter from the end), etc.
So the next letter in the pattern should be W.
