Solve by Substitution 65x+70y=643 , x+y=950

Problem

{[65*x+70*y=643],[x+y=950])

Solution

1. Isolate a variable in the second equation by subtracting y from both sides.

x=950−y

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

65*(950−y)+70*y=643

3. Distribute the constant 65 into the parentheses.

61750−65*y+70*y=643

4. Combine the like terms involving y

61750+5*y=643

5. Subtract 61750 from both sides to isolate the term with y

5*y=643−61750

5*y=−61107

6. Divide by 5 to solve for y

y=−61107/5

y=−12221.4

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

x=950−(−12221.4)

x=950+12221.4

x=13171.4

Final Answer

x=13171.4,y=−12221.4

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