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Solve the system by using a matrix equation.

6x-9y= 3
3x-4y=7
a. (17,11)
b. (12, 14)
c. (18, 12)
d. (15, 10

1 Answer

4 votes

|6 -9 3|
|3 -4 7|

Apply to Row2 : Row2 - 1/2, Row1
|6 -9 3|
|0 1/2 11/2|


3 Simplify rows.
|6 -9 3|
|0 1 11|

Apply to Row1 : Row1 + 9 Row2.
|6 0 102|
|0 1 11|

5 Simplify rows.
|1 0 17|
|0 1 11|

Answer:
X= 17
Y=11




​​
​x=17
​y=11
​​
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