Problemas
x+y =12 y =x^2/If(x,y) is a solution to the given system of equations, which of the following is a possible value of z? square A square B C 2 square D
Roztwór
Felicia
avanzado · Tutor durante 1 años
4.3
(241 Votos)
Respuesta
To solve the system of equations, we can substitute the value of y from the second equation into the first equation:
Multiplying both sides by 2 to eliminate the fraction, we get:
Rearranging the terms, we have:
Factoring the quadratic equation, we get:
Setting each factor equal to zero, we find the possible values of x:
or
or
Now, we can substitute these values of x back into the second equation to find the corresponding values of y:If
, then
If
, then
Therefore, the possible values of z are 18 and 8.