y= 4x+16
3x + 8u = 23
Answers
pls mark as branliest
follow me
Answer:
Enter a problem...
Linear Algebra Examples
Popular Problems Linear Algebra Solve Using an Inverse Matrix y=4x+16 , -3x+8y=23
y=4x+16 , -3x+8y=23
Find the AX=B from the system of equations.
[ -4 1 -3 8 ]⋅[ x y ]=[ 16 23 ]
Find the inverse of the coefficient matrix of [ -4 1 -3 8 ].
Tap for more steps...
[ -
8
29
1
29
-
3
29
4
29
]
Left multiply both sides of the matrix equation [ -4 1 -3 8 ]⋅[ x y ]=[ 16 23 ] by the inverse matrix [ -
8
29
1
29
-
3
29
4
29
].
([ -
8
29
1
29
-
3
29
4
29
]⋅[ -4 1 -3 8 ])⋅[ x y ]=[ -
8
29
1
29
-
3
29
4
29
]⋅[ 16 23 ]
Any matrix multiplied by its inverse is equal to 1 all the time. A⋅A-1=1. [ -
8
29
1
29
-
3
29
4
29
]⋅[ -4 1 -3 8 ]=1.
[ x y ]=[ -
8
29
1
29
-
3
29
4
29
]⋅[ 16 23 ]
Simplify the right side of the equation.
Tap for more steps...
[ -
105
29
44
29
]
The equation after simplifying the right and left side of the equation is [ x y ]=[ -
105
29
44
29
].
[ x y ]=[ -
105
29
44
29
]
Find the solution.
x=-
105
29
y=
44
29