Answer:
Option (a) is correct.
x = 4, y = 2 make the equation 3x + 4y + 6 = 26 true
Explanation:
Given : Equation 3x + 4y + 6 = 26
We have to find the values for x and y make the given equation 3x + 4y + 6 = 26 true and choose the correct option from the given options.
We will check each option one by one.
Consider
a) x = 4 , y = 2
Substitute in left side of given equation 3x + 4y + 6 = 26
LHS = 3x + 4y + 6 = 3(4) + 4(2) + 6 = 12 + 8 + 6 = 26 = RHS
b) x = 5 , y = 6
Substitute in left side of given equation 3x + 4y + 6 = 26
LHS = 3x + 4y + 6 = 3(5) + 4(6) + 6 = 15 + 24 + 6 = 45 ≠ RHS
c) x = 4 , y = 3
Substitute in left side of given equation 3x + 4y + 6 = 26
LHS = 3x + 4y + 6 = 3(4) + 4(3) + 6 = 12 + 12 + 6 = 30 ≠ RHS
d) x = 3 , y = 5
Substitute in left side of given equation 3x + 4y + 6 = 26
LHS = 3x + 4y + 6 = 3(3) + 4(5) + 6 = 9 + 20 + 6 = 35 ≠ RHS
Thus, Only Option (a) satisfies.
So, x = 4, y = 2 make the equation 3x + 4y + 6 = 26 true