Question

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

Answer 1

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 2

(2, 7/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Coordinates (x, y)
• Terms/Coefficients
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

2y = -x + 9

3x - 6y = -15

Step 2: Rewrite Systems

2y = -x + 9

1. [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

1. Substitute in y: 3x - 6(-x/2 + 9/2) = -15
2. Distribute -6: 3x + 3x - 27 = -15
3. Combine like terms: 6x - 27 = -15
4. [Addition Property of Equality] Add 27 on both sides: 6x = 12
5. [Division Property of Equality] Divide 6 on both sides: x = 2

Step 5: Solve for y

1. Define original equation: 2y = -x + 9
2. Substitute in x: 2y = -2 + 9
3. Add: 2y = 7
4. [Division Property of Equality] Divide 2 on both sides: y = 7/2