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4 years ago

Find the point of intersection algebraically for the system of equations. Make sure to write your answer as an ordered pair.

Mathematics

1 answer:

Vsevolod [243]4 years ago

4 0

Answer:

Step-by-step explanation:

hello :

1) the system is : y=5x+4

y = 2x+1

so :5x+4 =2x+1

5x-2x=1-4

3x= -3 so : x= -1 but y =2x+1 put x=-1 you have : y =-1

the solution : (x,y) =( -1, -1)

2) the system is : x + y = 4

4x -y = 1

means : y = - x+4 (line red)

y= 4x-1 (line blue)

graficly : intrsection is : (x,y) =(1 ,3 )

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$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

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Answer:

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