Graph question

The tables below show solutions for the equations in a system of linear equations. Which ordered pair is a solution to the system?

Two-column table titled Equation one. First column, x, has rows numbered, negative one, two, five, eight, eleven. Second column, y, has three blank rows the last two are zero and negative five. Two-column table titled Equation two. First column, x, has rows numbered, negative seven, negative four, negative one, two, five. Second column, y, has three blank rows then the last two rows are numbered eleven and seven

negative seventeen comma twenty-three

negative one comma fifteen

(5, 5)

(2, 11)

Question

Which Property of Equality should be used first to solve the equation p divided by seven minus five equals negative three for p

Hello, vivi2011!

The tables below show solutions for the equations in a system of linear equations.

. . \(\displaystyle \text{Equation 1} \qquad\quad\text{Equation 2}\)
. . . \(\displaystyle \begin{array}{c|c} x & y \\ \hline \text{-}1 & - \\ 2 & - \\ 5 & - \\ 8 & 0 \\ 11 & \text{-}5 \end{array}\qquad\qquad\begin{array}{c|c}x & y \\ \hline \text{-}7 & - \\ \text{-}4 & - \\ \text{-}1 & - \\ 2 & 11 \\ 5 & 7 \end{array}\)

Which ordered pair is a solution to the system?

. . \(\displaystyle (a)\;(\text{-}17, 23) \qquad (b)\;(\text{-}1,15) \qquad (c)\;(5,5) \qquad (d)\;(2,11)\)

Click to expand...

\(\displaystyle \text{For Equation 1, we know two points: }(8,0)\text{ and }(11,\text{-}5)\)
. . \(\displaystyle \text{Write the equation of that line.}\)

\(\displaystyle \text{For Equation 2, we know two points: }(2,11)\text{ and }(5,7)\)
. . \(\displaystyle \text{Write the equation of that line.}\)

\(\displaystyle \text{Now solve the system formed by the two equations.}\)

. . \(\displaystyle \text{You should get: }(b)\;(\text{-}1,15)\)