Question

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

Answer 1

Answer:

(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

Step-by-step 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.

Answer 2

Answer:

Step-by-step explanation:

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

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