Question

Solve each equation by substitution

Answer 1

Answer:

(1, 7)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 3x + 4

y = 6x + 1

Step 2: Solve for x

1. Substitute in y:                              3x + 4 = 6x + 1
2. Subtract 3x on both sides:           4 = 3x + 1
3. Subtract 1 on both sides:              3 = 3x
4. Divide 3 on both sides:                 1 = x
5. Rewrite:                                          x = 1

Step 3: Solve for y

1. Define original equation:                    y = 6x + 1
2. Substitute in x:                                     y = 6(1) + 1
3. Multiply:                                                y = 6 + 1
4. Add:                                                      y = 7

Answer 2

Answer:

(1, 7)

Step-by-step explanation:

y = 3x + 4

y = 6x + 1

6x + 1 = 3x + 4 ⇒ x = 1

y = 3(1) + 4 = 7

(1, 7)