Question

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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Answer 1

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

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.