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y/2 = x + 3        What is the value of x and y? y = 2x + 6

Manisha003

by Manisha003 at February 17, 2010

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y/2 = x + 3 ---- ×2 then y=2x+6 y = 2x + 6   so, two equations are same.   so there are a lot of roots. This is the answer.     have a nice day^^

kang007 kang007 February 17, 2010

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If we were to multiply 2 to both sides in the equation y/2 = x+3 (in order to cancel the division by 2 in y/2), then we would be left with y = 2x + 6.But wait! We already have another equation that is y = 2x + 6. What does this mean? Well, we can more easily see the answer if we were to solve for x. Let's substitute 2x + 6 for y in the equation y = 2x + 6 (since we know that y = 2x + 6, we can substitute 2x + 6 for y).Now we have:2x + 6 = 2x + 6If we were to try and solve for x, you'd probably be left with this.0 = 0Well, that above equation is true no matter what. That means that x and y can literally be any value, because if you were to graph the two lines, they would overlap each other infinitely, indicating an infinite number of solutions, or intersections where the two lines meet.We express this answer as "all real numbers" to show that x and y can just about be any real number.~ Azaler

Azaler Azaler February 17, 2010

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