Question

Solve the system of equations down below Y-15=3x
-2+5y=-3

Answer 1

Explanation:

-5(y-15=3x) = -5y+75=-15x

add 15x to both sides and subtract 75 to both side

-5y+15x=-75

5y-2x=-3

13x=-78

and then both side divide by 13

x=-6

y-15=3(-6)

y-15=-18

Y= (-18) - 15 = -3

y=-3

and the answer will be (-6,-3)

hope that help you

Answer 2

(-6, -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
• Solving systems of equations by graphing

Explanation:

Step 1: Define Systems

y - 15 = 3x

-2x + 5y = -3

Step 2: Rewrite Systems

y - 15 = 3x

1. Add 15 to both sides: y = 3x + 15

Step 3: Redefine Systems

y = 3x + 15

-2x + 5y = -3

Step 4: Solve for x

Substitution

1. Substitute in y: -2x + 5(3x + 15) = -3
2. Distribute 5: -2x + 15x + 75 = -3
3. Combine like terms: 13x + 75 = -3
4. Isolate x term: 13x = -78
5. Isolate x: x = -6

Step 5: Solve for y

1. Define equation: y - 15 = 3x
2. Substitute in x: y - 15 = 3(-6)
3. Multiply: y - 15 = -18
4. Isolate y: y = -3

Step 6: Graph Systems

Check the solution set.