Question

Which of the following gives a valid reason for using the given solution method to solve the system of equations shown? Equation I: 4x − 5y = 4 Equation II: 2x + 3y = 2 Group of answer choices Substitution; equation II can be solved for x in one step by subtracting 3y from both sides. Substitution; equation I can be solved for x in one step by dividing both sides by 4. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II. Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.

Answer 1

Answer:

* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.

* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.

Step-by-step explanation:

Equation I: 4x − 5y = 4

Equation II: 2x + 3y = 2

These equation can only be solved by Elimination method

Where to Eliminate x :

We Multiply Equation I by a coefficient of x in Equation II and Equation II by the coefficient of x in Equation I

Hence:

Equation I: 4x − 5y = 4 × 2

Equation II: 2x + 3y = 2 × 4

8x - 10y = 20

8x +12y = 6

Therefore, the valid reason using the given solution method to solve the system of equations shown is:

* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.

* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.