+16 Use the substitution method to find all solutions of the system of equations.
x2 − y = 7
2x2 + 3y = 24
+37084 Multiply first equation x 3 to get 3x^2 - 3y = 21 and add it to second equation to get
5x^2 =45 divide by 5
x^2 = 9 x =3
substitute x=3 into one of the equations
the first one 3^2-y = 7 9-y = 7 -y = -2 y=2
SO: x,y = 3,2
As a check substitute these values into equation 2
2(3^2) + 3(2) = 24 ??
18 + 6 = 24 CHECK !
+37084 Multiply first equation x 3 to get 3x^2 - 3y = 21 and add it to second equation to get
5x^2 =45 divide by 5
x^2 = 9 x =3
substitute x=3 into one of the equations
the first one 3^2-y = 7 9-y = 7 -y = -2 y=2
SO: x,y = 3,2
As a check substitute these values into equation 2
2(3^2) + 3(2) = 24 ??
18 + 6 = 24 CHECK !
