Let's solve each equation step-by-step:
1. For the equation [tex]\( x - 6 = 4 \)[/tex]:
- To isolate [tex]\( x \)[/tex], add 6 to both sides of the equation.
- The equation becomes [tex]\( x = 4 + 6 \)[/tex].
- Simplifying this, you get [tex]\( x = 10 \)[/tex].
2. For the equation [tex]\( x + 3 = -7 \)[/tex]:
- To isolate [tex]\( x \)[/tex], subtract 3 from both sides of the equation.
- The equation becomes [tex]\( x = -7 - 3 \)[/tex].
- Simplifying this, you get [tex]\( x = -10 \)[/tex].
So, the correct matches for the equations and their solutions are:
- [tex]\( x - 6 = 4 \)[/tex] matches with [tex]\( x = 10 \)[/tex].
- [tex]\( x + 3 = -7 \)[/tex] matches with [tex]\( x = -10 \)[/tex].
