Question

X+2y=13
3x-5y=6
what is (x,y)?

Answer 1

x+2y=13

Step 1: Add -2y to both sides.

x+2y+−2y=13+−2y

x=−2y+13

Answer:

x=−2y+13

Step 1: Add 5y to both sides.

3x−5y+5y=6+5y

3x=5y+6

Step 2: Divide both sides by 3.

3x

3

=

5y+6

3

x=

5

3

y+2

Answer:

x=

5

3

y+2

Step 1: Add -3x to both sides.

3x−5y+−3x=6+−3x

−5y=−3x+6

Step 2: Divide both sides by -5.

−5y

−5

=

−3x+6

−5

y=

3

5

x+

−6

5

Answer:

y=

3

5

x+

−6

5

Explanation:

Answer 2

(7, 3)

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

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

x + 2y = 13

3x - 5y = 6

Step 2: Rewrite Systems

x + 2y = 13

1. Subtract 2y on both sides: x = 13 - 2y

Step 3: Redefine Systems

x = 13 - 2y

3x - 5y = 6

Step 4: Solve for y

Substitution

1. Substitute in x: 3(13 - 2y) - 5y = 6
2. Distribute 3: 39 - 6y - 5y = 6
3. Combine like terms: 39 - 11y = 6
4. Isolate y term: -11y = -33
5. Isolate y: y = 3

Step 5: Solve for x

1. Define equation: x + 2y = 13
2. Substitute in y: x + 2(3) = 13
3. Multiply: x + 6 = 13
4. Isolate x: x = 7