What value of a gives (-1,1) as the solution of the following system?
3x+ 5y = 2
ax + 8y = 14
Choose the correct answer below.
W|||||
OA. -6
O B. -22
o co
O d. 22
O E 6
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Respuesta :

Answer:

A)  For (-1,1) to be the solution of the given system of equations, the value of a = -6.

Step-by-step explanation:

Here, the given system of equation are:

3x+ 5y = 2

ax + 8y = 14

Now, as (-1,1) is given as the solution for the system.

⇒ (-1,1) is also the solution for the equation ax  +  8 y = 14

So,  for x = -1 and y = 1, the equation is SATISFIED.

⇒ a(-1) + 8(1)  = 14

⇒  -a + 8  = 14

or, -a  =  14 - 8 = 6

⇒ a = -6

or,  - 6 x + 8y = 14  is the required equation.

Hence, for (-1,1) to be the solution of the given system of equations, the value of a = -6.