Question

6x+5y=19 2x+3y=5 Elimination Method to Solve Linear Equations

Answer 1

Answer:

x = 4 and y = -1

Step-by-step explanation:

Given that,

6x+5y=19  ... (1)

2x+3y=5 ...(2)

We need to solve the above equations.

Multiply equation (2) by 3.

6x+9y=15 ...(3)

Subtract equation (1) and (3).

6x+5y-(6x+9y)=19-15

6x+5y-6x-9y = 4

-4y = 4

y = -1

Put the value of y in equation (2).

2x+3(-1)=5

2x-3=5

2x=8

x=4

So, the solution of the above equations are x = 4 and y = -1.