Question

What is the solution to the system of linear equations? 2x + 3y = 3 3x + 5y = 5 Enter you answer into the boxes.

Answer 1

Answer:

x = 0

y = 1

Step-by-step explanation:

2x + 3y = 3               Multiply this equation by 3

3x + 5y = 5               Multiply this equation by 2

3(2x + 3y = 3)

6x + 9y = 9

2(3x + 5y = 5  )

6x + 10y = 10             Notice the xs are the same.

6x + 9y = 9

6x + 10y =10            Subtract

     - y = - 1                Multiply each side by -1

     y = 1

2x + 3y = 3

2x + 3*1 = 3

2x = 0

x =0