Fine the solution for this system of equations 12+15y=34 -6x+5y=3 x= ? y=?

x = 5/6

y = 8/5

Step-by-step explanation:

12x+ 15y = 34

-6x + 5y = 3

multiply the second equation by 2

2*(-6x + 5y) = 3*2

-12x + 10y = 6

add the 1st equation and the modified 2nd equation (elimination)

12x+ 15y = 34

-12x + 10y = 6

       25y = 40

divide by 25

25y/25 = 40/25

y = 40/25 = 8/5

12x + 15y = 34

substitute y = 8/5

12x +15(8/5) = 34

12x +24 = 34

subtract 24 on each side

12x = 10

divide by 12

x = 10/12  = 5/6

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

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