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## Sagot :

[tex]\[ \begin{cases} x + 2y = 22 \\ x - y = -2 \end{cases} \][/tex]

we can use the method of elimination or substitution. Here’s a step-by-step solution using the elimination method:

1.

**Write down the system of equations**:

[tex]\[ \begin{cases} x + 2y = 22 \\ x - y = -2 \end{cases} \][/tex]

2.

**Eliminate one of the variables**(let's eliminate [tex]\(x\)[/tex]):

- We have the first equation: [tex]\(x + 2y = 22\)[/tex].

- We have the second equation: [tex]\(x - y = -2\)[/tex].

3.

**Subtract the second equation from the first equation**:

[tex]\[ (x + 2y) - (x - y) = 22 - (-2) \][/tex]

4.

**Simplify the equation**:

[tex]\[ x + 2y - x + y = 22 + 2 \][/tex]

[tex]\[ 3y = 24 \][/tex]

5.

**Solve for [tex]\(y\)[/tex]**:

[tex]\[ y = \frac{24}{3} = 8 \][/tex]

6.

**Substitute the value of [tex]\(y\)[/tex] back into one of the original equations to find [tex]\(x\)[/tex]**:

- Using the second equation: [tex]\(x - y = -2\)[/tex]:

[tex]\[ x - 8 = -2 \][/tex]

[tex]\[ x = -2 + 8 \][/tex]

[tex]\[ x = 6 \][/tex]

Therefore, the solution to the system of equations is [tex]\(x = 6\)[/tex] and [tex]\(y = 8\)[/tex].

So, the correct answer is:

[tex]\[ 6.0, 8.0 \][/tex]