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Solve using augmented matrices.\newline7x+y=177x + y = 17\newlinex=1x = 1\newline(_____, _____)

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Q. Solve using augmented matrices.\newline7x+y=177x + y = 17\newlinex=1x = 1\newline(_____, _____)
  1. Write Augmented Matrix: First, let's write the system of equations as an augmented matrix.[71∣17 10∣1]\begin{bmatrix} 7 & 1 & \vert & 17 \ 1 & 0 & \vert & 1 \end{bmatrix}
  2. Make First Element 11: Now, we need to use the second equation to make the first element of the first row 11. But wait, the second equation already tells us that x=1x = 1, so we don't need to do any row operations.
  3. Substitute xx to Find yy: Since x=1x = 1, we can substitute xx into the first equation to find yy.7(1)+y=177(1) + y = 177+y=177 + y = 17y=17−7y = 17 - 7y=10y = 10
  4. Find Solution: We have found the values of xx and yy. The solution to the system is (1,10)(1, 10).

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