Solve the system by substitution
y=-6x

-2x-7y=40

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

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