Answer :
Sure! Let's solve the equation step-by-step:
We have the equation:
[tex]\[ 6.1(x - 2) + x = 51.7 \][/tex]
1. Distribute 6.1 into the parentheses:
[tex]\[ 6.1(x - 2) = 6.1 \cdot x - 6.1 \cdot 2 \][/tex]
[tex]\[ = 6.1x - 12.2 \][/tex]
2. Substitute this back into the original equation:
[tex]\[ 6.1x - 12.2 + x = 51.7 \][/tex]
3. Combine like terms (the terms with x):
[tex]\[ 6.1x + x = 7.1x \][/tex]
Now the equation becomes:
[tex]\[ 7.1x - 12.2 = 51.7 \][/tex]
4. Add 12.2 to both sides to isolate the term with x:
[tex]\[ 7.1x - 12.2 + 12.2 = 51.7 + 12.2 \][/tex]
[tex]\[ 7.1x = 63.9 \][/tex]
5. Divide both sides by 7.1 to solve for x:
[tex]\[ x = \frac{63.9}{7.1} \][/tex]
[tex]\[ x = 9 \][/tex]
So, the solution is [tex]\( x = 9 \)[/tex].
We have the equation:
[tex]\[ 6.1(x - 2) + x = 51.7 \][/tex]
1. Distribute 6.1 into the parentheses:
[tex]\[ 6.1(x - 2) = 6.1 \cdot x - 6.1 \cdot 2 \][/tex]
[tex]\[ = 6.1x - 12.2 \][/tex]
2. Substitute this back into the original equation:
[tex]\[ 6.1x - 12.2 + x = 51.7 \][/tex]
3. Combine like terms (the terms with x):
[tex]\[ 6.1x + x = 7.1x \][/tex]
Now the equation becomes:
[tex]\[ 7.1x - 12.2 = 51.7 \][/tex]
4. Add 12.2 to both sides to isolate the term with x:
[tex]\[ 7.1x - 12.2 + 12.2 = 51.7 + 12.2 \][/tex]
[tex]\[ 7.1x = 63.9 \][/tex]
5. Divide both sides by 7.1 to solve for x:
[tex]\[ x = \frac{63.9}{7.1} \][/tex]
[tex]\[ x = 9 \][/tex]
So, the solution is [tex]\( x = 9 \)[/tex].
