How would I solve this system of equations?
1. \(2x - 3y = 9\)
2. \(5x + 3y = 12\)
Additionally, I need to graph the answers on a graph. I appreciate the help!
Answer (2)
{ 2 x − 3 y = 9 5 x + 3 y = 12 + − − − − − − − 7 x = 21 / : 7 x = 3 21 x = 3 2 x − 3 y = 9
2 ∗ 3 − 3 y = 9 6 − 3 y = 9 − 3 y = 9 − 6 − 3 y = 3 / : ( − 3 ) x = − 1 { x = 3 y = − 1
g r a p h { 2 x − 3 y = 9 5 x + 3 y = 12 { − 3 y = − 2 x + 9 / : ( − 3 ) 3 y = − 5 x + 12 / : 3 { y = 3 2 x − 3 y = − 3 5 x + 4
To solve the given system of equations, we found that x = 3 and y = − 1 . The solution is represented as the ordered pair ( 3 , − 1 ) . To graph, plot the equations and observe their intersection at this point.
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