Category: Algebra
"Published in Newark, California, USA"
Solve the following systems by elimination:
Solution:
Consider the given equations above
Did you notice that 2x² will be eliminated if you will add the two given equations? Add the two equations in order to solve for the value of y.
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If y = 1, then the value of x is
If y = - 1, then the value of x is
Therefore, the solutions of the two equations are:
Category: Algebra
"Published in Newark, California, USA"
Solve the following systems by substitution:
Solution:
Consider the given equations above
Rewrite the second equation in terms of y at the left side as follows
Substitute the value of y to the first equation, we have
By using quadratic formula, the values of x are
If you will choose the positive sign, then the value of x is
Substitute the value of x to the second equation in order to get the value of y, we have
If you will choose the negative sign, then the value of x is
Substitute the value of x to the second equation in order to get the value of y, we have
Therefore, the solutions of the two equations are:
