Write the given matrix equation as a system of linear equations without matrices. begin{bmatrix}3 & 0 -3 &1 end{bmatrix}begin{bmatrix}x y end{bmatrix}=begin{bmatrix}6 -7 end{bmatrix}

Emeli Hagan

Emeli Hagan

Answered question

2021-02-25

Write the given matrix equation as a system of linear equations without matrices. [3031][xy]=[67]

Answer & Explanation

irwchh

irwchh

Skilled2021-02-26Added 102 answers

Step 1
Given: [3031][xy]=[67]
Step 2
Now, [3031][xy]=[67]
3x+0y=6       (1)
3x+1y=7       (2)
From equation (1) , we have
3x=6
x=63
x=3
Putting x=2 in equation (2) , we have
3(2)+1y=7
6+y=7
y=7+6
y=13
Answer: Therefore the values of x and y are 2 and 13 respectively
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

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