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yuradex [85]
3 years ago
7

Michael and Kathryn bowled together and their combined total score for one game was 425 points. Michael’s score was 70 less than

twice Kathryn’s. What were their scores
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
x-\ Kathryn's\ points\\\\
y-\ Michael's\ points\\\\
 \left \{ {{x+y=425} \atop {y+70=2x\ \ | subtract\ 70}} \right. \\\\  \left \{ {{x+y=425} \atop {y=2x-70}} \right. \\ substitution\ method\\\\
x+2x-70=425\\\\
3x-70=425\ \ | add\ 70\\\\
3x=495\ \ \ | divide\ by\ 3\\\\
x=165\\\\
y=2x-70=2*165-70=330-70=260\\\\
Kathryn\ scored\ 165\ points\ and\ Michael\ 260
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