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