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Xelga [282]
4 years ago
15

Is (2, 5) a solution to this system of equations? x + 2y = 12 2x + 2y = 14 yes or no

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
5 0
Yes (2,5) is a solution to the system of equation

2+2 (5)=12
2+10=12
12=12


2(2)+2(5)=14
4+10=14
14=14
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Answer:

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Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

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