What is the solution to the system of equations?
-3x + y = -1
2x + y = 14

a (3, 8)
b (-8, 3)
c (-3, 8)
d (8, 3)

The answer is A.

Step-by-step explanation:

I used the elimination method to solve this system of equations.

The elimination method is where you add both of the equations, where one of the variables are equal in terms of number, but the signs are flipped. That's because you add the equations, crossing out one of the variables, leaving you with one variable to easily solve with.

It goes like this:

I multiplied the first equation (-3x+y=-1) by -1, to be able to cross out the y variable when I add.

So, after multiplying, the equation would be: 3x-y=1

Now, you add the two equations together.

  3x-y=1

  2x+y=14

+

  5x=15

Solving we get x=3.

That already gives you a as an answer, but let's continue.

Now we plug x=3 back into one of the equations to find what y is.

2(3)+y=14

6+y=14

y=8

So, the answer is A, (3, 8).

Checking: Just plug the numbers back in to see if they're right.

-3(3)+8= -1

-9+8=-1

-1=-1  

Hope this helps!

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

m a t h w a y. c o m

step-by-step explanation: