Find the value of a so that the equation has the given solution set.
-$$a x - 6 = 7 x - 26 \quad \{ 5 \}$$
A) $a = - \frac { 141 } { 5 }$
B) $a = \frac { 3 } { 5 }$
C) $a = 3$
D) $a = 5$

Question

Quizplus · Accepted Answer

To find the value of $a$, substitute $x = 5$ into the equation: $a(5) - 6 = 7(5) - 26$. Simplifying gives $5a - 6 = 35 - 26$, which simplifies to $5a - 6 = 9$. Solving for $a$ gives $5a = 15$, so $a = 3$.

Find the Value of a So That the Equation Has ax−6=7x−26{5}a x - 6 = 7 x - 26 \quad \{ 5 \}ax−6=7x−26{5}

Find the Value of a So That the Equation Has $a x - 6 = 7 x - 26 \quad \{ 5 \}$