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3 years ago

Determine the solution to the system of equations. 3x - y = 9 2x - y = 6

Mathematics

2 answers:

barxatty [35]3 years ago

8 0

Answer:

(3, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing
Terms/Coefficients

Step-by-step explanation:

Step 1: Define Systems

3x - y = 9

2x - y = 6

Step 2: Rewrite Systems

2x - y = 6

Subtract 2x on both sides: -y = 6 - 2x
Divide -1 on both sides: y = 2x - 6

Step 3: Redefine Systems

3x - y = 9

y = 2x - 6

Step 4: Solve for x

Substitution

Substitute in y: 3x - (2x - 6) = 9
Distribute -1: 3x - 2x + 6 = 9
Combine like terms: x + 6 = 9
Isolate x: x = 3

Step 5: Solve for y

Define equation: 2x - y = 6
Substitute in x: 2(3) - y = 6
Multiply: 6 - y = 6
Isolate y term: -y = 0
Isolate y: y = 0

Step 6: Check

Graph the systems to verify the solution set (3, 0) is the solution.

The solution set to the systems would be where the 2 lines intersect.

We see that the intersection point is x-intercept (3, 0).

∴ (3, 0) is the solution set to the systems of equations.

Ad libitum [116K]3 years ago

8 0

isolate and solve for y

Step-by-step explanation:

subtract y from both sides than divide the x values from bothe sides

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