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masya89 [10]
3 years ago
14

11x -20y=28 3x+4y =36

Mathematics
2 answers:
jekas [21]3 years ago
8 0
Answer: X is equal to 8 and Y is equal to 3
balandron [24]3 years ago
4 0

Answer:

x = 8

y = 3

Step-by-step explanation:

11x - 20y = 28

3x + 4y = 36

11x - 20y = 28

11x = 20y + 28

x = \frac{20}{11}y + \frac{28}{11}

3x + 4y = 36

3 ( \frac{20}{11}y + \frac{28}{11} ) + 4y = 36

\frac{104}{11}y = \frac{312}{11}

y = 3

x = \frac{20}{11}y + \frac{28}{11}

x = \frac{20}{11} ( 3 ) + \frac{28}{11}

x = 8

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The larger of the two positive numbers is 8 more than the smaller. The sum of their squares is 104. Find the two numbers.
poizon [28]

Hey there!

Let's set up a system of equations to find our answer. We will use x and y, with y being the larger 1.

y=x+8

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We plug our value for y into the second equation and we get that y is equal to two. We can then plug this into the first equation and we get 10.

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I hope this helps!

Let's plug our y value into the second equation.

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Read 2 more answers
-40-8b=-6(1+7b) what’s the answer
Andre45 [30]

\text{Hey there!}

\mathsf{-40-8b=-6(1+7b)}\\\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}\\\mathsf{-40-8b=-6(1+7b)}

\mathsf{Distribute\ the\ RIGHT\ side\ of\ the\ equation }\\\mathsf{Distribute [the\ formula\ is: a(b+c)=a(b)+a(c)=ab+ac]}\\\mathsf{-6(1)+(-6)}(7b)\\\mathsf{-6(1)=-6}\\\mathsf{-6(7b)=-42b}\\\mathsf{\rightarrow\ =-6+(-42b)}

\mathsf{-40-8b=-6+(-42b)}\\\mathsf{\rightarrow -8b-40=-42b-6}

\mathsf{ADD\ by\ 42b\ on\ your\ sides}\\\mathsf{-8b-40+42b=-42b-6+42b}\\\mathsf{SOLVE\ above\ correct\ to\ get\ us\ to\ the\ next\ step!}\\\mathsf{\rightarrow 34b-40=-6}

\mathsf{ADD\ by\ 40\ on\ your\ sides}\\\mathsf{34b-40+40=-6+40}\\\mathsf{Cancel\ out\ -40+40\ because\ that\ gives\ the\ result\ of\ 0}\\\mathsf{-6+40=34}\\\mathsf{\rightarrow New\ equation: 34b = 34}

\mathsf{DIVIDE\ both\ of\ your\ sides\ by\ 34}\\\mathsf{\dfrac{34b}{34}=\dfrac{34}{34}}\\\\\mathsf{Cancel\ out: \dfrac{34b}{34}\ because\ that\ gives\ you\ the\ result\ of\ 1b}\\\\\mathsf{Keep:\dfrac{34}{34}\ because\ it\ solves\ for\ b}\\\\\mathsf{\dfrac{34}{34}=34\div34=1}

\boxed{\boxed{\boxed{\boxed{\mathsf{Thus\ your\ answer\ is:\boxed{\boxed{\mathsf{b=1}}}}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

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spin [16.1K]
Given: f(x)=(2x-2)/4
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we need to find the inverse of f(x), so
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