Sure, let's break down the problem step by step:
1. Understanding the problem: We are given a mathematical statement that says "2 times [tex]\( z \)[/tex] minus 3 gives 40."
2. Translating the statement into an equation:
- "2 times [tex]\( z \)[/tex]": This means we are multiplying [tex]\( z \)[/tex] by 2, which gives us [tex]\( 2z \)[/tex].
- "minus 3": This means we subtract 3 from the previous result, which gives us [tex]\( 2z - 3 \)[/tex].
- "gives 40": This means the result of the previous expression is equal to 40, which gives us the equation [tex]\( 2z - 3 = 40 \)[/tex].
So, the equation we're looking for is:
[tex]\[ 2z - 3 = 40 \][/tex]