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Finger [1]
3 years ago
15

Linear system word problem

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
Drinks, x, and popcorn, y.
38.75 = 5x+2y
37.25 = 3x + 4y
Let's solve this using the elimination method
subtract the 2nd row from the first
<span>7x=40.2<span>5
divide both sides by 7 to isolate x
</span></span><span>x=5.7<span>5

Substitute x into an equation
</span></span><span><span>10(5.75)+4y=77.5
multiply
</span></span>57.5+4y=77.<span>5
subtract 57.5 from both sides
</span>4y=77.5−57.<span>5
Simplify
</span>4y=2<span>0
divide both sides by 4 to isolate y
y = 5

To check you would plug x and y into the equations and see if it equals properly...

The price of drinks is $5.75, the price of popcorn is $5.

Hope this helps 
</span>
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