Question

Solve the system of equation using the solution method:
y=3x+2
2x-3y=8

Answer 1

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

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