Which expression can you substitute in the indicated equation to solve the system below?
9y = 6 - x
12x = 5 - y

a. substitute 5 - x for y in to 9y = 6 - x
b. substitute 6 - 9y for x in to 12x = 5 - y
c. substitute 5 + 12x for y in to 9y = 6 - x
d. substitute 6 + 9y for x in to 12x = 5 - y

B. Substitute 6 - 9y for x in to 12x = 5 - y

Step-by-step explanation:

From the first equation we solve for x and get

x = 6 - 9y.

and one way to solve the given system of equations is to put this value of x into the equation 12x = 5 -y. this will give us 12(6 - 9y) =5-y, which can be easily solved for y.

Therefore choice B is the correct option.

Let us go through other choices for the sake of completeness

Choice A gives the wrong value of y for substitution.

Choice C also gives the wrong value of y for substitution.

Choice D gives the wrong value of x for substitution.

180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

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