2y=-x+93×-6y=-15 whats the solution to the system​

2 answers
Question:

2y=-x+9
3×-6y=-15 whats the solution to the system​

Answers

Answer:Step-by-step explanation:2y = -x +93x - 6y = -15The solution is the value of x and y that will make the two equations true in the same time. 3x-6y = -15;  divide both sides by 3x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equalx-(-x+9) = -5; open parenthesisx+x-9 = -5 ; add 9 to both sides  and combine like terms2x = -5 +9; 2x = 4; divide both sides by 2 x= 2Substitute x for 22y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5Solution is (2, 3.5)

Answer:(2, 7/2)General Formulas and Concepts:Pre-AlgebraOrder of Operations: BPEMDASBracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  Equality PropertiesMultiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra ICoordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:Step 1: Define Systems2y = -x + 93x - 6y = -15Step 2: Rewrite Systems2y = -x + 9[Division Property of Equality] Divide 2 on both sides:                                y = -x/2 + 9/2Step 3: Redefine Systemsy = -x/2 + 9/23x - 6y = -15Step 4: Solve for xSubstitute in y:                                                                                                3x - 6(-x/2 + 9/2) = -15Distribute -6:                                                                                                   3x + 3x - 27 = -15Combine like terms:                                                                                       6x - 27 = -15[Addition Property of Equality] Add 27 on both sides:                                6x = 12[Division Property of Equality] Divide 6 on both sides:                                 x = 2Step 5: Solve for yDefine original equation:                                                                               2y = -x + 9Substitute in x:                                                                                                2y = -2 + 9Add:                                                                                                                  2y = 7[Division Property of Equality] Divide 2 on both sides:                                y = 7/2

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