Answer :

Certainly! Let's solve the shape equation puzzle step by step.

We are given two equations:
1. [tex]\( + = 14 \)[/tex]
2. [tex]\( - = 2 \)[/tex]

Let's use variables to make it easier to solve. Assume:
- [tex]\( + = x \)[/tex]
- [tex]\( - = y \)[/tex]

Then we can rewrite the equations as:
1. [tex]\( x + y = 14 \)[/tex]
2. [tex]\( x - y = 2 \)[/tex]

First, we'll add these two equations together to eliminate [tex]\( y \)[/tex]:

[tex]\[ (x + y) + (x - y) = 14 + 2 \][/tex]

Simplifying this, we get:

[tex]\[ 2x = 16 \][/tex]

Now, solve for [tex]\( x \)[/tex]:

[tex]\[ x = \frac{16}{2} \][/tex]
[tex]\[ x = 8 \][/tex]

With [tex]\( x = 8 \)[/tex], we can substitute this value back into one of the original equations to find [tex]\( y \)[/tex]. Let's use the first equation:

[tex]\[ 8 + y = 14 \][/tex]

Subtract 8 from both sides to solve for [tex]\( y \)[/tex]:

[tex]\[ y = 14 - 8 \][/tex]
[tex]\[ y = 6 \][/tex]

Therefore, the values that solve the shape equation puzzle are:
[tex]\[ + = 8 \][/tex]
[tex]\[ - = 6 \][/tex]

So we have [tex]\( x = 8 \)[/tex] and [tex]\( y = 6 \)[/tex].