What values of ๐e and ๐f make both of these equations true?ย 2๐2f==๐+6e+6๐โ3๐fโ3e==33
Question
What values of ๐e and ๐f make both of these equations true?ย 2๐2f==๐+6e+6๐โ3๐fโ3e==33
Solution
Sure, let's solve these equations step by step.
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We have two equations here:
2f = e + 6 ...(Equation 1)
f - 3e = 33 ...(Equation 2)
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Let's express e from Equation 1:
e = 2f - 6
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Now, we substitute e in Equation 2:
f - 3(2f - 6) = 33 f - 6f + 18 = 33 -5f = 33 - 18 -5f = 15 f = 15 / -5 f = -3
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Now that we have f, we can substitute it into Equation 1 to find e:
2(-3) = e + 6 -6 = e + 6 e = -6 - 6 e = -12
So, the values of e and f that make both of these equations true are e = -12 and f = -3.
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