Perform the row operation on the given augmented matrix calculator:
Solve for x and y (begin{pmatrix} 1 & 1 \ 3 & y end{pmatrix})(begin{pmatrix} x \ 1 end{pmatrix}) = (begin{pmatrix} 4 \ 1end{pmatrix})
- A.
x = 3, y = 8 - B.
x = 3, y = -8 - C.
x = -8, y = 3 - D.
x = 8, y = -3
Correct Answer: Option B
Explanation
(begin{pmatrix} 1 & 1 \ 3 & y end{pmatrix})(begin{pmatrix} x \ 1 end{pmatrix}) = (begin{pmatrix} 4 \ 1end{pmatrix}) = x + 1 = 4
x = 4 – 1
= 3
3x + y =1
3(3) = y = 1
= 9 + y = 1
y = 1 – 9
= -8