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

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.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)