Question

Solve the following system of equations. Let Z be the parameter.

Solve the following system of equations. Let z be the parameter. 2x + 3y - Z=2 3x + 5y +z = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution, 100. B. There are infinitely many solutions. The solution is OC. There is no solution. - 2 + 8z|2 - 5z2), where z is any real number.

Answer 1

• We are given that Y- tell 2x + 3y -z = 2 3x + {y +z = 4 are also given that z is parameter so let real z = ; AER-('ais any number ) then can be contiten 2 а. * system ces 2x+3y = 2ta (أ - 32 tsy = 4-a

multiplying (i) by 3 e (ii) by 2 2 ule then substract (in from (o then geat - y 6+3a - 2(t-a) 6+39 - 8+ 2a = = - 2 tsa then 2-sa vy How puting the valere ofy in o we get 2x = (2+a) 3(2-5a) 2ta - 6+ 150 = 4 +16a = -2 +8a then our solection of will be v (x, y, z) =(-2+89,2-5a, a) a is pasamater, so since
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