Focus on the order of the variables in the two equations.
Megan is correct, Cody is not. See solution.
Practice makes perfect
Cody and Megan are setting up matrix equations for the following system.
5x+ 7y=19 3y+ 4x=10
Both Cody and Megan are looking for the matrix equation in the correct form.
AX=B
Let's look at the matrices one at a time.
Both correctly identify the variable and constant matrix.
X= x y
and
B= 19 10
Both of them correctly identify that the coefficient matrix is a 2* 2 matrix, and both use the correct coefficients. However, Cody missed the step of rearranging the terms in one of the equations.
5x+ 7y=19 4x+ 3y=10
In the correct matrix equation, the coefficients corresponding to the same variable need to be in the same column.
5& 7 4& 3
x y
=
19 10
This is the same as Megan's matrix equation, so Megan is correct.
Let's look now at the equation system corresponding to Cody's matrix equation.
5& 7 3& 4
x y = 19 10
⇕
5x+7y=19 3x+4y=10
The second equation in this system is not what is given in the question. Cody is not correct.
