Solve the system of equations.

2x + 3y = 1

5x + 2 = 8

What is the solution?

x = 2, y = - 1

Step-by-step explanation:

2x + 3y = 1 ... (1)

5x + 2y = 8 ... (2)

multiply equation (1) by 5 and equation (2) by 2

10x + 15y = 5 ... (3)

10x + 4y = 16 ... (4)

solving by elimination method

we subtract equation (4) from (3)

hence ...

11y = - 11

dividing both sides by 11

y = - 1

substituting y = - 1 in equation (1) to solve for the value of x

2x + 3 (-1) = 1

2x - 3 = 1

rearranging,

2x = 3 + 1

2x = 4

dividing both sides by 2

x = 2