Answer:
The value of a = -2
Step-by-step explanation:
Given the equation: ax + 3y =48 .....[1] and it is passes through the point (-3, 14).
To find the value of a which completes the equation;
Substitute the point (-3 , 14) i.e, x = -3 and y = 14 in [1] to solve for a;
[tex]a(-3) + 3(14) = 48[/tex]
or
-3a + 42 = 48
Subtract 42 from both sides we get;
-3a + 42 -42 =48 -42
Simplify:
-3a = 6
Divide both sides by -3 we get;
a = -2
Substitute this value in [1] to completes the equation:
-2x + 3y =48
therefore, the value of a = -2 accurately completes the equation -2x + 3y =48
