Question

In: Math

please solve this systems of equations step by step, you rock: 8.3z=3.6-5.6y 8.3z=5.7+1-(1.2+3.2)x z=x+y

please solve this systems of equations step by step, you rock:

8.3z=3.6-5.6y

8.3z=5.7+1-(1.2+3.2)x

z=x+y

Expert Solution

8.3z=3.6-5.6y

8.3z + 5.6y = 3.6 ---------------------- eqn 1

8.3z=5.7+1-(1.2+3.2)x

8.3z = 5.7 + 1 - 1.2x - 3.2x

8.3z + 4.4x = 6.7 --------------------- eqn 2

z=x+y ----------------- eqn 3

plugging z = x+y in 1st and 2nd equations

8.3(x+y) + 5.6y = 3.6

8.3(x+y) + 4.4x = 6.7

8.3x + 13.9y = 3.6

12.7x + 8.3y = 6.7

multiplying each equation by 10 to get rid of decimals

x = 275/468

hence, solution is

x = 0.5876 , y = - 0.09188 , z = 0.49572

milcah answered 2 years ago

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