Mathematics, 31.01.2021 23:00 lovecats12

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

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Answer from: joyelewis58

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The 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 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

x+x-9 = -5 ; add 9 to both sides and combine like terms

2x = -5 +9; 2x = 4; divide both sides by 2

x= 2

Substitute x for 2

2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5

Solution is (2, 3.5)

Answer from: bandiadummy8595

(2, 7/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2y = -x + 9

3x - 6y = -15

Step 2: Rewrite Systems

2y = -x + 9

[Division Property of Equality] Divide 2 on both sides: y = -x/2 + 9/2

Step 3: Redefine Systems

y = -x/2 + 9/2

3x - 6y = -15

Step 4: Solve for x

Substitute 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 = 2

Step 5: Solve for y

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