Question

3 + 2x -y =0
-3 -7y = 10x​

Answer 1

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination
• Solving systems of equations by graphing

Explanation:

Step 1: Define systems

3 + 2x - y = 0

-3 - 7y = 10x

Step 2: Rewrite systems

3 + 2x - y = 0

1. Add y to both sides: 3 + 2x = y

Step 3: Redefine systems

y = 2x + 3

-3 - 7y = 10x

Step 4: Solve for x

Substitution

1. Substitute in y: -3 - 7(2x + 3) = 10x
2. Distribute -7: -3 - 14x - 21 = 10x
3. Combine like terms: -14x - 24 = 10x
4. Add 14x on both sides: -24 = 24x
5. Divide 24 on both sides: -1 = x
6. Rewrite: x = -1

Step 5: Solve for y

1. Define original equation: -3 - 7y = 10x
2. Substitute in x: -3 - 7y = 10(-1)
3. Multiply: -3 - 7y = -10
4. Add 3 to both sides: -7y = -7
5. Divide -7 on both sides: y = 1

Step 6: Graph

Check the solution set.