Answer:
Step-by-step explanation:
we know that
The expression "the difference of 29 and 14" is equal to
The expression "the difference of 29 and 14 minus 11" is equal to
The complete expression "5 times the difference of 29 and 14 minus 11" is equal to
The solutions for the given system of equations are:
(3, 0), (-4, 7).
<h3>How to solve the given system of equations:</h3>
Here we have the system:
x + y = 3
y = x² - 9
To solve this, we can replace the second equation into the first one, so we get:
x + (x² - 9) = 3
Now we can solve this quadratic equation for x, we need to solve:
x² + x - 12 = 0.
The solutions are given by Bhaskara's formula:
Then the two solutions are:
x = (-1 + 7)/2 = 3
x = (-1 - 7)/2 = -4
To get the y-values correspondent, we can evaluate the linear equation in these two values:
y = 3 - x.
For x = 3:
y = 3 - 3 = 0
For x = -4:
y = 3 + 4 = 7
Then the two solutions are: (3, 0), (-4, 7).
If you want to learn more about systems of equations:
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