Solve by Substitution x+y=160 , 10x+15y=1825

Problem

{[x+y=160],[10*x+15*y=1825])

Solution

1. Isolate a variable in the first equation. We can subtract y from both sides of x+y=160 to solve for x

x=160−y

2. Substitute the expression for x into the second equation, 10*x+15*y=1825

10*(160−y)+15*y=1825

3. Distribute the constant 10 into the parentheses.

1600−10*y+15*y=1825

4. Combine the like terms involving y

1600+5*y=1825

5. Isolate the term with y by subtracting 1600 from both sides.

5*y=225

6. Solve for y by dividing both sides by 5

y=45

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

x=160−45

x=115

Final Answer

(x,y)=(115,45)

Want more problems? Check here!