Graph the equations 2x + 4y = 24 and y = (1/2)x

Question

 Write the solution to this system of linear equations by typing the point that they have in common. IMPORTANT: Both your x and y values should be integers. Remember that the format for a point is (x,y). For BrainHoney's sake, no spaces please.

Answer 1

Hi Caleb, from the second equation, we know y = 1/2 * x. We can substitute this value for y in the first equation to find the x component of the point we are looking for.

 

2x + 4 * (1/2 * x) = 24

 

2x + 2x = 24

 

4x = 24

 

x = 6

 

Substituting for x in either equation will give the y value of the point we are looking for.

 

y = 1/2 * 6

 

y = 3

 

The point where the two lines intersect or the point they have in common is (6,3) 

 

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