Knowee
Questions
Features
Study Tools

What values of ๐‘’e and ๐‘“f make both of these equations true?ย 2๐‘“2f==๐‘’+6e+6๐‘“โˆ’3๐‘’fโˆ’3e==33

Question

What values of ๐‘’e and ๐‘“f make both of these equations true?ย 2๐‘“2f==๐‘’+6e+6๐‘“โˆ’3๐‘’fโˆ’3e==33

๐Ÿง Not the exact question you are looking for?Go ask a question

Solution

Sure, let's solve these equations step by step.

  1. We have two equations here:

    2f = e + 6 ...(Equation 1)

    f - 3e = 33 ...(Equation 2)

  2. Let's express e from Equation 1:

    e = 2f - 6

  3. 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

  4. 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.

This problem has been solved

Similar Questions

What values of ๐‘šm and ๐‘›n make both of these equations true?ย 2๐‘›2n==๐‘š+6m+6๐‘›โˆ’3๐‘šnโˆ’3m==33

Determine whether the valueย ๐‘ฅ=4ย makes the following equations true or false.True False ๐‘ฅ+48โˆ’1=06+๐‘ฅ=25โˆ’๐‘ฅ2=โˆ’113(7โˆ’๐‘ฅ)+8=16

What values of ๐‘”g and โ„Žh make both of these equations true?ย ๐‘”+โ„Žg+h==13134๐‘”โˆ’5โ„Ž4gโˆ’5h==โˆ’29โˆ’29

๐‘Žโˆ’24=7๐‘Žโˆ’24=7The first step to undo the operations in this equation is to multiply both sides byย 4, which gives:๐‘Ž4=7๐‘Ž4=7๐‘Žโˆ’8=28๐‘Žโˆ’8=284๐‘Žโˆ’2=284๐‘Žโˆ’2=284๐‘Žโˆ’8=284๐‘Žโˆ’8=28๐‘Žโˆ’2=28

1๐‘ž+2๐‘šโˆ’10=0 and 6๐‘ž+2๐‘šโˆ’20=0๐‘ž=3 ; ๐‘š=3๐‘ž=3 ; ๐‘š=5๐‘ž=2 ; ๐‘š=4๐‘ž=1 ; ๐‘š=

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.