Solve by Substitution 40x+y=19200 , 60x+y=19200

Problem

{[40*x+y=19200],[60*x+y=19200])

Solution

1. Isolate the variable y in the first equation by subtracting 40*x from both sides.

y=19200−40*x

2. Substitute the expression for y into the second equation.

60*x+(19200−40*x)=19200

3. Combine like terms on the left side of the equation.

20*x+19200=19200

4. Solve for x by subtracting 19200 from both sides and then dividing by 20

20*x=0

x=0

5. Substitute the value of x back into the expression for y to find the second coordinate.

y=19200−40*(0)

y=19200

Final Answer

(x,y)=(0,19200)

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