Answered

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How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution

How Many Solutions Does This System Have Gt 2x3y 10 4x6y20 One Two An Infinite Number No Solution class=

Sagot :

211130630

Answer: I think there is only one

Step-by-step explanation:

Answer:

an infinite number

Step-by-step explanation:

Let's solve for y for both equations.

[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]

[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]

By reducing fractions we get:

[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]

These two equations are EXACTLY the same.

Therefore, this system has an infinite number amount of solutions.

Using desmos graphing calculator, you can't see both lines because they're exactly the same line.

View image luispablo1992
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