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gavmur [86]
3 years ago
11

the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times t

he second is 95, Find the numbers
Mathematics
1 answer:
inysia [295]3 years ago
5 0
\left \{ {{7*x - 3*y=25} \atop {2*x + 5*y=95}} \right.

\left \{ {{7x - 3y=25}(I) \atop {2x + 5y=95}(II)} \right.

\left \{ {{7x - 3y=25}simplify*(5) \atop {2x + 5y=95}simplify*(3)} \right.

\left \{ {{35x - \diagup\!\!\!\! 15 y=125} \atop {6x + \diagup\!\!\!\! 15y=285}} \right.

\left \{ {{35x =125} \atop {6x =285}} \right.

41x = 410

\boxed{x=10}

<span>Replace the value of "x" in the second equation (II) to find the value of "y", thus:
</span>2x + 5y=95
2*(10)+5y = 95
20+5y=95
5y=95-20
5y=75
y =  \frac{75}{5}
\boxed{y=15}


The numbers (10,15)

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