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4x + 8y=20
3x+6y=15
solve this system of equations

User Vadeg
by
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2 Answers

4 votes

4x + 8y=20 \ \ \ \ \ : \ \ \ \ \ 3x+6y=15


\text{Solve for x in 4x+8y=20}


4x+8y=20


4(x+2y)=20


x+2y= (20)/(4)


x+2y=5


x=5-2y


15=15


\text{Infinitely Many Solutions}
User Peter Flannery
by
8.0k points
6 votes
4x=20-8y

x=5-2y now use this value of x in the second equation...

3(5-2y)+6y=15

15-6y+6y=15

15=15 This is true for any y or x value.

So there are infinitely many solutions as the two equations describe the same line.
User Steve Coleman
by
8.5k points

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