The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the solution to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2x- y = 3
y - x = 1
Make y the subject in the second equation, by adding x to both sides of the equation
y - x + x = x + 1
This gives
y = x + 1
Substitute y = x + 1 in 2x- y = 3
2x- x - 1 = 3
Evaluate the like terms
x = 4
Substitute x = 4 in y = x + 1
y = 4 + 1
Evaluate
y = 5
Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5
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219864070186 - 277409297400 = -57545227214 x 780498 = -4.4913935e+16 - 1274806769367926946610431 = -1.2748068e+24 x 3.6614422e+21 = -4.6676314e+45 - 437913 = -4.6676314e+45 - 88878 = -4.6676314e+45
Ф = 500 , 5,000
5,000 / ∞ x ∞ x ∞ = 5,000^+++∞/ 68307147 = 0.00007319878^+++∞ - 917 - 974 - 9 - 19344381 = -19346280.9999^+++∞
-4.6676314e+45 -19346280.9999^+++∞ = -4.6676314e+45^+++∞
I believe that will be your answer.
I tried my best.
Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.
The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:
<em>= Amount x (1 - percentage paid by restaurant)</em>
= 9,560 x ( 1 - 80%)
= $1,912
The amount he pays for Dental coverage is:
<em>= Amount x (1 - percentage paid by restaurant)</em>
= 172 x (1 - 65%)
= $60.20
The total amount he pays for insurance per year is:
<em>= Medical + Dental </em>
= 1,912 + 60.20
= $1,972.20
The weekly deduction is:
<em>= Year amount / No. of weeks in year </em>
= 1,972.20 / 52
= $37.93
In conclusion, $37.93 is deducted from his paycheck every week.
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The answers are 3.19 or -2.19.
In order to complete the square, you must first get the constant to the other side of the equation. WE do that by adding 7 to both sides.
x^2 - x - 7 = 0
x^2 - x = 7
Now we must take half of the x coefficient (-1), which would be -.5. Then we square it and add it to both sides. This is the second step to any completing the square problem.
x^2 - x = 7
x^2 - x + .25 = 7.25
Now that we have done that, the left side will be a perfect square so that, we can factor it.
x^2 - x + .25 = 7.25
(x - .5)^2 = 7.25
After having done that, we can take the square root of both sides
(x - .5)^2 = 7.25
x - .5 = +/-
Now we can take the value of that square root and solve.
x - .5 = +/-
x - .5 = +/-2.69
x = .5 +/- 2.69
And with the + and - both there, we need to do both to get the two answers.
.5 + 2.69 = 3.19
.5 - 2.69 = -2.19
Y2-y1=6-4=2
x2-x1=2-1=1
2/1=2
The slope is 2
y=2x+b
4=2(1)+b
4=2+b
-2
2=b
y=2x+2