Math  /  Algebra

QuestionSolve the system of equations. 4x5y+2z=812x15y+6z=12x4y5z=4\begin{array}{c} 4 x-5 y+2 z=-8 \\ 12 x-15 y+6 z=1 \\ 2 x-4 y-5 z=4 \end{array}
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is (,\square, , (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are (,z,y(, z, y, where zz is any real number. (Type exact answers in simplified form.) C. There is no solution.

Studdy Solution
Now, consider the simplified equation y+4z=163 y + 4z = -\frac{16}{3} and the observation from STEP_1 that equation 2 is a multiple of equation 1 but with a different constant. This indicates that the system is inconsistent.
Thus, there is no solution to the system.
The correct choice is: C. There is no solution.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord