To solve the system of equations.
Answer to Problem 56SGR
The value of pairs of
Explanation of Solution
Given information :
The equations provided are
Formula used :
Since there are two equations provided for y, equate the components of both with each other. This will result in a
The resulting equation can be solved by factoring. To do so, break up the midpoint to arrive at two factors. Then use the zero-product property to equate each factor in order to get the roots.
Calculation :
Let this be equation 1.
Let this be equation 2.
Since both are equal to y , equate them to get a resulting equation for x
Bringing the right-hand side to left-hand side.
This resulting equation can be simplified by factoring.
Breaking the middle term.
Arranging the common factors.
The two factors of the function.
Now, the first root is:
Using zero-product property.
The second root is:
Using zero-product property.
Now, put these values of x in equation 2 to get the value of y.
Putting
Simplifying
Thus one pair of solution is
Putting
Simplifying
The other pair of solution is
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