Solve the system of equation using the solution method:

y=3x+2

2x-3y=8

x=-2/7, y=8/7

Step-by-step explanation:

Simultaneous equation

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

2x-3y=8 ... (2)

Substitute (1) into (2)

2x-3 (3x+2) = 8

2x-9x-6=8

Collect like terms

-7x=8-6

-7x=2

Divide both sides by-7

X=-2/7

Substitute the value for x into (1)

y=3 (-2/7) + 2

y=-6/7+2

Lcm be 7

y=-6+14/7

y=8/7

Therefore x=-2/7, y=8/7