Answer:
a = 3
Step-by-step explanation:
Simply substitute 2 for x and y for 1 and solve.
This will get you 2a + 2 = 8
Then simplifying, 2a = 6.
a = 3.
The value of a and the coefficient of x is 3.
Substitution means putting numbers in place of letters to calculate the value of an expression .
According to the given question.
We have a equation.
ax + 2y = 8.
Also, the solution to the equation is (2, 1).
So, substitute x = 2 and y = 1 in the equation ax + 2y = 8.
⇒ [tex]a(2) + 2(1) = 8[/tex]
⇒ [tex]2a + 2 = 8[/tex]
⇒ [tex]2a = 8-2[/tex] ( subtracting 2 from both the sides)
⇒ [tex]2a = 6[/tex]
⇒ [tex]a = \frac{6}{2}[/tex] (dividing both the sides by 2)
⇒ [tex]a = 3[/tex]
Hence, the value of a and the coefficient of x is 3.
Find out more information about substitution here:
https://brainly.com/question/10852714
#SPJ2
