Determine whether the value 𝑥=4 makes the following equations true or false.True False 𝑥+48−1=06+𝑥=25−𝑥2=−113(7−𝑥)+8=16

Sure, let's solve these equations one by one:

1. 𝑥+48−1=0 Substitute 𝑥=4 into the equation: 4+48-1=0, which simplifies to 51=0. This is false.

2. 6+𝑥=2 Substitute 𝑥=4 into the equation: 6+4=2, which simplifies to 10=2. This is false.

3. 5−𝑥^2=−11 Substitute 𝑥=4 into the equation: 5-4^2=-11, which simplifies to 5-16=-11. This simplifies further to -11=-11. This is true.

4. 3(7−𝑥)+8=16 Substitute 𝑥=4 into the equation: 3(7-4)+8=16, which simplifies to 3*3+8=16. This simplifies further to 9+8=16, and finally to 17=16. This is false.

So, the value 𝑥=4 makes the third equation true, and the rest false.