Solve for z and y?

Question

4z(3z)^2 + 10y - (-3y + 10y) x 2 = 15z - 5y && (((21y + 3y)/2 - 15y) * 2) + 7y + 21z^2 = 7

4(3z)^2 + 10y - (-3y + 10y) x 2 = 15z - 5y && (((21y + 3y)/2 - 15y) * 2) + 7y + 21z^2 = 7

(mistake was fixed)

(4z(3z))^2 + 10y - (-3y + 10y) x 2 = 15z - 5y && (((21y + 3y)/2 - 15y) * 2) + 7y + 21z^2 = 7

(Sorry, another detail added to make it easier - and I do not know the answer)

(4(3z))^2 + 10y - (-3y + 10y) x 2 = 15z - 5y && (((21y + 3y)/2 - 15y) * 2) + 7y + 21z^2 = 7

Equation 1 should simplify to -12z^2 + 15z = y

Answer 1

Jack's simplification is correct.

Equation 1 simplifies to y = -144z^2 + 15z

Equation 2 simplifies to y = -21z^2 + 7

Combining and simplifying we get 123z^2 - 15z + 7 = 0. You can then use the quadratic formula to get the two possible values of z (both will be imaginary) and then plug these into equation 1 or equation 2 to obtain the possible values for y.

Equation 1 will not simplify as the author wrote since (4(3z))^2 = *(12z)^2 = (12)^2 * z^2 = 144z^2.

Answer 2

I get it down to: 15Z^2 - 15Z + 7 = 0 , but I can't find the roots. Are you sure the question is correct?

Based on your latest revision, equation 1 can be simplified to:
Y = 15Z - 144Z^2
Equation 2: Y = 7 - 21Z^2
Therefore: 123Z^2 - 15Z + 7 = 0
I still can't solve it.

Answer 3

after simplifying we get y=-36z^3+15z . hence we have this equation 36z^3-21z^2-15z+7=0 solve it to find z and then you will get the value of y

Answer 4

I never could do these kinds of math problems! I always felt that numbers were for math and letters were for writing. I just couldn't combine the two.

Answer 5

i think there is something wrong with the question...coz when i try to find the roots for the solved equation iam not getting the roots

Answer 6

do you know the answer?