Matt has 5 cookies Addie eats 3. How old is Addie?
2 answers:
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Answer:
<h2>Step-by-step explanation:
Solve the equation for y by moving 'x' to R.H.S and changing its sign
Substitute the given value of y into the equation 5x + y = 28
Solve the equation for x
Collect like terms
Move constant to R.H.S and change its sign
Subtract the numbers
Divide both sides of the equation by 4
Calculate
Reduce the numbers with 2
Now, substitute the given value of x into the equation y = 2 - x
Solve the equation for y
The possible solution of the system is the ordered pair ( x , y )
<h2>-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
Simplify the equalities
Since , all of the equalities are true, the ordered pair is the solution of the system.
Hope this helps....
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Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
