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Solve the simultaneous equation?
I'm a bit confused because there are two 'y='
y=2x^2
y=3x+14
with an explanation if possible. Thanks to anyone who can help.(:
2 Answers
- Anonymous8 years agoFavorite Answer
Yes, two equations. That's why it's called "simultaneous". You draw two graphs and they cross at two points like this: https://www.wolframalpha.com/input/?i=y%3D2x%5E2%2... We know to expect two because the first equation is a parabola and the second is a straight line. BTW Bookmark that site to check all your homework.
There are two ways to solve this. One is substitution where you solve one equation for one variable and substitute that into the other equation. Since both equations are already solved for y, we can just set them equal to each other.
2x^2 = 3x + 14 Rewrite in standard form.
2x^2 - 3x - 14 = 0
(x + 2)(2x - 7) = 0
x = -2, 7/2 Put these values into either equation and solve for y values of the two intersections.
The other way is to add or subtract the two equations in a way to eliminate one variable.
y = 2x^2
y = 3x + 14
-------------- SUBTRACT
0 = 2x^2 - 3x - 14 Solve same as above.
- 8 years ago
2x^2 = 3x + 14 because both are equal to y, so they are equal to each other.
The answer is not a whole number, so can't help you further.
