Asked by Anonymous
                Can someone explain how to solve this system using substitution?
1.25x + 0.75y = 109.75
x + y = 105
            
        1.25x + 0.75y = 109.75
x + y = 105
Answers
                    Answered by
            Steve
            
    sure. the 2nd equation says that
y = 105-x.
Substitute that into the first equation to get
1.25x + 0.75(105-x) = 109.75
x = 62
So, y = 105-62 = 43
    
y = 105-x.
Substitute that into the first equation to get
1.25x + 0.75(105-x) = 109.75
x = 62
So, y = 105-62 = 43
                    Answered by
            Chelle
            
    1.25x + 0.75y = 109.75
x + y = 105 > x = 105 - y
Put x value in the first equation;
1.25(105 - y) + 0.75y = 109.75
131.25 - 1.25y + 0.75y = 109.75
131.25 - 0.5y = 109.75
-131.25 -131.25
___________________________________
-0.5y = -21.5
______ _______
       
-0.5 -0.5
y = 43
Now solve for x. Use either equation.
x = 105 - 43
x = 62
x = 62
        
    
x + y = 105 > x = 105 - y
Put x value in the first equation;
1.25(105 - y) + 0.75y = 109.75
131.25 - 1.25y + 0.75y = 109.75
131.25 - 0.5y = 109.75
-131.25 -131.25
___________________________________
-0.5y = -21.5
______ _______
-0.5 -0.5
y = 43
Now solve for x. Use either equation.
x = 105 - 43
x = 62
x = 62
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