Question

The graph of the equation ax+3y=48 passes through the point (-3, 14). what value of A accurately completes the equation

Answer 1

try a=-2 (negative 2)

working attached

Answer 2

The value of a = -2

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;

`a(-3) + 3(14) = 48`

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