(06.02) What is the solution to the following system of equations? y = −x2 − 5x − 4 y = −x2 + 9x − 18

I want to solve it in a simple way: let's combine the right side of the two equations together(since they are all equal to y) we could get:

[tex]- x^{2}-5x-4=-x^2+9x-18 [/tex], remove [tex]-x^2[/tex], we have:

[tex]14=14x[/tex], then we have: x=1

Then we have y = -1-5-4=-10, we could also test our result by put x=1, y=-10 into the second equation, and turns out the result is right.

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vintechnology vintechnology · Answer 2 · 2022-02-10T15:22:49+01:00

vintechnology vintechnology

10-02-2022

The solution to the system of equation is as follows;

x = 1

y = -10

System of equations:

y = -x² - 5x - 4

y = -x² + 9x - 18

subtract equation(ii) from equation(i)

(-5x - 9x) + (-4 + 18) = 0

-14x + 14 = 0

-14x = -14

x = -14 / -14

x = 1

Therefore,

y = -x² - 5x - 4

y = -(1)² - 5(1) - 4

y = -1 - 5 - 4

y = -1 - 9

y = -10

learn more on system of equation here: https://brainly.com/question/1600552

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