Question

1/2y=4, x-1/2y=2 the system of equations above has solution (x,y)

Answer 1

Answer: (6,8)

Explanation:

1/2y = 4

x - 1/2y = 2

First solve for y in the first equation.

1/2y = 4 Divide both sides by 1/2

y = 8

NOw substitute the value of y into the second equation and solve for x.

x

x - 1/2(8) = 2

x - 4 = 2

+4 +4

x = 6

THis makes the solution (6,8)

Answer 2

(6, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Equality Properties
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

1/2y = 4

x - 1/2y = 2

Step 2: Solve for y

1. Define equation: 1/2y = 4
2. Isolate y: y = 8

Step 3: Solve for x

1. Define equation: x - 1/2y = 2
2. Substitute in y: x - 1/2(8) = 2
3. Multiply: x - 4 = 2
4. Isolate x: x = 6