Ask a New Question

Asked by NoneYaBusiness

Use a matrix to find the solution to the system of equations.
{-8x - 8y = -16
{6x - 9y = -108
A.(-6,8)
B.(6,8)
C.(8,-6)
D.(6,-8)
7 years ago

Answers

Answered by Steve
First I'd factor out what I could to make the system
x+y = 2
2x-3y = -36
So, now you have
AX=B
where
A = {{1,1},{2,-3}} and B={{2},{-36}}
so A^-1 = 1/5 {{3,1},{2,-1}}
and we have
X = A^-1*B = 1/5 {{3,1},{2,-1}}*{{2},{-36}} = {{-6},{8}}
so (-6,8) is the solution
7 years ago
Answered by A different Steve
I just used this answer and it is correct
5 years ago

Related Questions

Find DE if matrix D= Row 1= -2,4,6 and ROW 2= 5,-7,1 and matrix E= Row 1= 1,-2 Row 2= 0,-4, and Ro... Find x such that the matrix is equal to its own inverse. 3,x -2,-3 Find the matrix A such that 1 0 −1 3 A = −1 −8 2 11 . Hint: Let A = a b... For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the e... Find the 2 x 2 matrix A such that pmatrix{(-1,-1)(1 -1)} A = I, where I is the 2 x 2 identity matrix... Find a non-zero matrix such that ⎡ -2 5 ⎤ ⎡ ❏ ❏ ⎤ ⎡ 0 0 ⎤ ⎥ ⎥... Find the matrix B such that AB=t and A=(3 2)... use a matrix to find the solution of the system of equations -8-9y=-16 6x-9y=-108 Use a matrix to find the solution to the system of equations. {-8x-8y=-16 {6x-9y=-108 (–6,...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use