Question

6x−3y=5 y−2x=8 ​ How many solutions does the system have?

Answer 1

Answer:

no solution.

Step-by-step explanation:

We have been given the system of equations

6x-3y=5...(i)

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

Write both equations in slope intercept form y = mx +b

For equation (i)

$6x-3y=5\\-3y=-6x+5\\\\y=2x-\frac{5}{3}$

The slope is 2 and the y- intercept is -5/3

For equation (ii)

$y-2x=8\\\\y=2x+8$

The slope is 2 and the y-intercept is 8

Since, both the equations have equal slope and different y - intercepts. Hence, the lines are parallel.

Therefore, we can say that the system have no solution.

Answer 2

No Solutions because there are too many = signs.