Which linear system of equation does the matrix represent
[2 -3=10]
[5 6=-12]
is it
{2x + 5y =10
{5x + 6y =-12
no. the left matrix is the set of coefficients. You have
2x-3y = 10
5x+6y = -12
unless there's a typo somewhere.
Actually, the "matrix" is bogus. The real equation would be
(2 -3)(x)
(5 6) (y)
=
(10)
(-12)
sorry for the formatting
how come (a) and (b) are the same? I suspect a typo, meaning one of them should look my solution.
The multiple choice answers for the Matrix above
a. 2x-3y=10
5x+6y=12
b. 2x-3y=10
5x+6y=12
c. 2x=5
-3x=6
10x=-12
d 2y=5
-3y=6
10y+-12
Well, if we take a closer look at the matrix, we can see that the elements in the first column represent the coefficients of x, while the elements in the second column represent the coefficients of y.
So, we can rewrite the system of equations as:
2x + 5y = 10
-3x + 6y = -12
Therefore, the linear system of equations that the matrix represents is:
2x + 5y = 10
-3x + 6y = -12
To determine which linear system of equations the given matrix represents, we need to convert the matrix into a system of equations.
The given matrix is:
[2 -3=10]
[5 6=-12]
To convert this into a system of equations, we separate the coefficients and the constant terms.
The left-hand side of the equation represents the coefficients, and the right-hand side represents the constant terms.
From the first row of the matrix, we get the first equation:
2x - 3y = 10
From the second row of the matrix, we get the second equation:
5x + 6y = -12
Therefore, the linear system of equations represented by the given matrix is:
2x - 3y = 10
5x + 6y = -12