Given the system of equation below , identify the number of solutions. begin{cases}y=5x-715x-3y=7end{cases}

Cem Hayes

Cem Hayes

Answered question

2021-01-22

Given the system of equation below , identify the number of solutions.
{y=5x715x3y=7

Answer & Explanation

2k1enyvp

2k1enyvp

Skilled2021-01-23Added 94 answers

Step 1
Solve the system of equations, using matrices. Given matrix reduced into row-echelon form.
Step 2
Given system of equations
(1)y=5x7
(2)15x3y=7
(3){y=5x715x3y=7
(3) can be written in matrix form Ax=b
[51153][xy]=[77]
Agumented matrix [A/b]=[51|7153|7]
Reduced into row echelon form
R2R23R1
[51|700|7]
P(A)=1,P(A/B)=2
P(A)P(A/B)
Thus the system of equation have no solution
Ans:No solution
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

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