Solve the System by the Addition Method $$\left\{ \begin{array} { l } \frac { x + 5 } { 3 } = \frac { y + 19 } { 6 } \\\frac { x } { 2 } = \frac { 2 y + 8 } { 4 }\end{array} \right.$$

question 1

Multiple Choice

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
- $$\left\{ \begin{array} { l } \frac { x + 5 } { 3 } = \frac { y + 19 } { 6 } \\\frac { x } { 2 } = \frac { 2 y + 8 } { 4 }\end{array} \right.$$

• A) \(\{ ( 1,5 ) \}\)
• B) no solution; \(\varnothing\)
• C) \(\{ ( 5,1 ) \}\)
• D) infinitely many solutions; \(\left\{ ( x , y ) \mid \frac { x + 5 } { 3 } = \frac { y + 19 } { 6 } \right\}\) or \(\left\{ ( x , y ) \mid \frac { x } { 2 } = \frac { 2 y + 8 } { 4 } \right\}\)

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