Final answer:
Using the substitution property of equality, if MN equals 4 in the equation 2(LN) + 4(MN), we can find the value of LN by replacing MN with 4 and isolating LN to determine that LN equals -8.
Step-by-step explanation:
If MN equals 4 and we have the equation 2(LN) + 4(MN), we can use the substitution property of equality to find the value of LN. Substitution property of equality states that if two expressions are equal, one can be replaced by the other in any equation or expression. In this case, since MN is given as 4, we can substitute 4 every place we see MN:
2(LN) + 4(4)
2(LN) + 16
To isolate LN, we can subtract 16 from both sides of the equation:
2(LN) + 16 - 16 = 0 - 16
2(LN) = -16
Now we divide both sides by 2 to solve for LN:
LN = -16 / 2
LN = -8
This means the value of LN is -8 when MN is 4.