Question

Complete the two-column proof.

Answer 1

The two-column proof you sent is correct. It proves that
`$(62)/(7) = y$`given that 11x-7y=-7 and x=5.

The two-column proof you sent is correct. It proves that
`$(62)/(7) = y$`given that 11x-7y=-7 and x=5.

Proof:

| Statement | Reason |

|---|---|---|

| 11x-7y=-7 | Given |

| x=5 | Given |

| Substitute x=5 into the first equation: | Substitution Property |

| 11(5)-7y=-7 |

| Simplify the left-hand side: | Arithmetic |

| 55-7y=-7 |

| Subtract 55 from both sides: | Subtraction Property of Equality |

| -7y=-62 |

| Divide both sides by -7 | Division Property of Equality |

|
`$y=(62)/(7)$` |

| Simplify the right-hand side: | Arithmetic |

|
`$y=(62)/(7)$` |

Therefore,
`$(62)/(7) = y$`.