Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5y = - 2 & 2x + y = 3

A) Multiply first equation by - 3 and second equation by 2, solution (1, 1).

B) Multiply first equation by - 2 and second equation by 3, solution (1, 1).

C) Multiply first equation by - 3 and second equation by 2, solution (1, - 1).

D) Multiply first equation by - 2 and second equation by 3, solution (1, - 1).

Question

Athena Middleton

Mathematics

31 October, 20:00

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5y = - 2 & 2x + y = 3

A) Multiply first equation by - 3 and second equation by 2, solution (1, 1).

B) Multiply first equation by - 2 and second equation by 3, solution (1, 1).

C) Multiply first equation by - 3 and second equation by 2, solution (1, - 1).

D) Multiply first equation by - 2 and second equation by 3, solution (1, - 1).

+2

Answers (2)

Know the Answer?

Logan Hall · Answer 1

Answer:Its B

Step-by-step explanation:

You multiply 2 first and then 3.

Beau Farrell · Answer 2

see explanation

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 2 → (1)

2x + y = 3 → (2)

Multiply (2) by 5 will eliminate y when added to (1), that is

10x + 5y = 15 → (3)

Add (1) and (3) term by term

(3x + 10x) + ( - 5y + 5y) = ( - 2 + 15)

13x = 13 (divide both sides by 13)

x = 1

Substitute x = 1 into (2) for corresponding value of y

2 + y = 3 ⇒ y = 3 - 2 = 1

Solution is (1, 1)