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Helen [10]
4 years ago
12

Linear system word problem PLEASE SOLVE

Mathematics
1 answer:
tigry1 [53]4 years ago
7 0
Write the equation
popcorn, x
drinks, y
51.25 = 5x + 5y
122.25 = 15x + 8y

<span>Multiply the 1st row by 3
</span><span>15x+15y=153.75</span>
<span><span><span>15x+8y=122.25</span>1
</span></span><span>Subtract the 2nd row from the 1st row
</span>7y=31.<span>5
</span>Divide both sides by <span><span>7
</span></span>y=<span>​​<span>​<span>31.5</span></span><span>​​/7
simplify
y = 4.5

</span></span>Substitute <span>y=4.5</span><span> into any of the two equations above
Let's pick the first equation 
</span><span><span><span>15x+15y=153.75
</span></span></span>15x+15(4.5)=153.75
<span>Simplify
</span>15x+67.5=153.7<span>5
</span>Subtract <span>67.5</span> from both sides
15x=153.75−67.<span>5
</span><span>Simplify
</span><span>15x=86.25</span>
Divide both sides by <span><span><span>15
</span></span></span><span>x=<span>​​<span>​<span>86.25</span></span><span>​​/15
Simplify
</span></span></span><span><span>x=5.75

Therefore, 
</span></span><span>x=5.75</span>
<span><span><span>y=4.5

Follow along on a piece of paper, it'll help you get it.</span></span></span>
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