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

Exactly one solution

No solutions

Infinitely many solutions

If your answer was Exactly one solution, what is this solution?

2 Answers

5 votes

No Solutions because there are too many = signs.

User Istvan Heckl
by
8.4k points
3 votes

Answer:

no solution.

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-(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.

User Judoman
by
8.5k points
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