Solve by Substitution 99x+10.99y=331 , x+y=36

Problem

{[99*x+10.99*y=331],[x+y=36])

Solution

1. Isolate a variable in the simpler equation. We can solve the second equation for x by subtracting y from both sides.

x=36−y

2. Substitute the expression for x into the first equation.

99*(36−y)+10.99*y=331

3. Distribute the constant 99 into the parentheses.

3564−99*y+10.99*y=331

4. Combine the like terms involving y

3564−88.01*y=331

5. Isolate the y term by subtracting 3564 from both sides.

−88.01*y=−3233

6. Solve for y by dividing both sides by −88.01

y=(−3233)/(−88.01)

y=323300/8801

y≈36.73446

7. Substitute the value of y back into the equation for x

x=36−323300/8801

x=(316836−323300)/8801

x=−6464/8801

x≈−0.73446

Final Answer

(x,y)=(−6464/8801,323300/8801)

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