Answer :
To determine whether 67 is a solution to the equation [tex]\(3x - 45 = 156\)[/tex], we can substitute 67 for [tex]\(x\)[/tex] and check if the equation holds true.
1. Substitute 67 for [tex]\(x\)[/tex] in the equation:
[tex]\[
3(67) - 45
\][/tex]
2. Calculate the left side:
[tex]\[
3 \times 67 = 201
\][/tex]
[tex]\[
201 - 45 = 156
\][/tex]
3. Compare the result to the right side of the equation, which is 156:
[tex]\[
156 = 156
\][/tex]
Since both sides of the equation are equal when [tex]\(x = 67\)[/tex], it confirms that 67 is indeed a solution to the equation [tex]\(3x - 45 = 156\)[/tex].
In conclusion, by substituting 67 into the equation, we find that both sides are equal, so 67 is a solution to the equation.
1. Substitute 67 for [tex]\(x\)[/tex] in the equation:
[tex]\[
3(67) - 45
\][/tex]
2. Calculate the left side:
[tex]\[
3 \times 67 = 201
\][/tex]
[tex]\[
201 - 45 = 156
\][/tex]
3. Compare the result to the right side of the equation, which is 156:
[tex]\[
156 = 156
\][/tex]
Since both sides of the equation are equal when [tex]\(x = 67\)[/tex], it confirms that 67 is indeed a solution to the equation [tex]\(3x - 45 = 156\)[/tex].
In conclusion, by substituting 67 into the equation, we find that both sides are equal, so 67 is a solution to the equation.
