Question

2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)

Answer 1

Explanation:

2x-3y=4 x+3y=29

Hmmm I got (11,6) and I did it two different ways. Are these the only answers?

Answer 2

(11, 6)

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

2x - 3y = 4

x + 3y = 29

Step 2: Rewrite systems

2x - 3y = 4

x = 29 - 3y

Step 3: Solve for y

1. Substitute in x: 2(29 - 3y) - 3y = 4
2. Distribute 2: 58 - 6y - 3y = 4
3. Combine like terms: 58 - 9y = 4
4. Isolate y term: -9y = -54
5. Isolate y: y = 6

Step 4: Solve for x

1. Define: x + 3y = 29
2. Substitute in y: x + 3(6) = 29
3. Multiply: x + 18 = 29
4. Isolate x: x = 11

Step 5: Check

Graph the systems of equations to verify the solution set.