Q:

What is the solution to this linear system?x+y=23x - 2y = -9A (-3,-1)B (1,3)c (3,-1)D (-1,3)​

Accepted Solution

A:
Solution set is (-1,3) Hence Option D is correctStep-by-step explanation:We need to solve linear system to find the solution.[tex]x+y=2\,\,\,(1) \\3x-2y=-9\,\,\,\,(2)[/tex]Multiply equation (1) with 2 and add both equations.[tex]2x+2y=4\\3x-2y=-9\\-------\\5x= -5\\x=\frac{-5}{5}\\ x=-1[/tex]Putting value of x in equation(1)[tex]x+y=2\\-1+y=2\\y=2+1\\y=3[/tex]So, x=-1 and y=3So, Solution set is (-1,3) Hence Option D is correct.Keywords: System of solutionsLearn more about System of solutions.brainly.com/question/6075514 brainly.com/question/7490805 brainly.com/question/2115716#learnwithBrainly