Question

What is the solution to the following system of equations?

x - 2y = 6

y = 11 - 3x

Answer 1

x=4 y=-1

Explanation:

x-2(11-3x)=6

x-22+6x=6

7x-22=6

7x=22+6

x=28/7

x=4

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y=11-3(4)

y=11-12

y=-1

Answer 2

(4, -1)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define systems

x - 2y = 6

y = 11 - 3x

Step 2: Rewrite systems

1. Define: x - 2y = 6
2. Add 2y on both sides: x = 2y + 6

x = 2y + 6

y = 11 - 3x

Step 3: Solve for y

1. Substitute in x: y = 11 - 3(2y + 6)
2. Distribute -3: y = 11 - 6y - 18
3. Combine like terms: y = -6y - 7
4. Add 6y on both sides: 7y = -7
5. Divide 7 on both sides: y = -1

Step 4: Solve for x

1. Define: x - 2y = 6
2. Substitute in y: x - 2(-1) = 6
3. Multiply: x + 2 = 6
4. Subtract 2 on both sides: x = 4