## Which matrix represents the system of equations shown below? y = 10 4x – 5y = 3 ool’s ] SUBMIT

Question

Which matrix represents the system of equations shown below?
y = 10
4x – 5y = 3
ool’s ]
SUBMIT

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1 month 2021-09-17T16:33:10+00:00 1 Answer 0

[row 1, row 2] [0 1, 4 -5] col [x y] = col [ 10 3]

Step-by-step explanation:

Given the system of equation:

y = 10

4x – 5y = 3

The matrix that will represent this set of equation will be a 2×2 matrix because of the amount of unknown variables which is 2 (i.e x and y)

Looking at the first equation, there are no variables x but thwore is a variable y with a coefficient of 1

The first row of the 2×2 matrices will be represented by the coefficient of the variables

For the left hand of the first equation, the resulting row matrix is [0 1]

Similarly for the left hand of the second equation, the resulting row matrix is [4 -5]

The unknown variables and their resulting values will both form a column matrix each. col [x y] and [10 3]

Combining the matrices we have;

[row 1, row 2] [0 1, 4 -5] col [x y] = col [ 10 3]