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2 years ago

Solve the Simultaneous equations 2x + 4y = 9 and 4x2 + 16y2 = 20x + 4y - 19

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

8 0

Answer:

I'm so sorry I can't help but you can try and use math-way to answer anyquestions regarding equations and such!

LiRa [457]2 years ago

5 0

well (no, not again) I have to use substitution method for this one.

Alright here goes nothing.

2x+4y=9 and 4x^2 +16y^2=20x+4y-19

2x+4y=9

2x=9-4y

x=9-4y/2 ......this is equation 1

substituting value of x in 4x^2 + 16y^2=20x+4y-19 ,

4(9-4y/2)^2+ 16(9-4y/2)^2 = 20(9-4y/2)^2+4y-19

=324+64y^2-144y + 324+64y^2-144y = 71-36y

=648+128y^2-288y=71-36y

= 648-71+128y^2-288y+36y

= 577+128y^2-252y

solving the above equation using quadratic formula , we get y=2.56

substituting value of y in equation 1 , we get

2x+4(2.56)=9

2x= 9-4(2.56)

x=0.62 or -0.62

Thank you very much lol , this problem was so huge that it made my day.

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2 years ago

If a cyclist increases his speed by 3 miles per hour, he can reduce the time required for a 6 mile trip by 10 minutes. What is t

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Step-by-step explanation:

Let the initial speed (slower speed) = s mph

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2 years ago

Zoom in to see more clear :)

algol13

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

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