If i remember you just take two out of the three and solve using elimination. Then plug in your found variables to the third equation and youll have your variables! Its a lot of work per problem though
look over the equations and decide which variable would be the "easier" one to eliminate.
In the first I would choose the z
add the last two equations:
8x + 6y = 0 = 20
4x + 3y = 10
2nd times 4 :
8x - 4y + 4z = 12
3x + 2y + 4z = 19 , now subtract those two
5x - 6y + 0 = -7
now look at the y's, they would be the easier to get rid of ...
double the first: 8x + 6y = 20
keep the 2nd ...: 5x - 6y = -7
13x = 13
x = 1
sub into 4x+3y=10
4 + 3y = 10
3y = 6
y = 2
back into the 2nd, the easier looking one ...
2x - y + z = 3
2 - 2 + z = 3
z = 3
try the second the same way, I would choose to work on the z's to start with
The last one is a lot different:
notice that the x^2 and y^2 terms are the same.
So, let's just subtract them ....
xy = -2
y = -2/x
sub that into the first:
x^2 + 2x(-2/x) - 2(4/x^2) = -11
x^2 - 4 - 8/x^2 = -11
x^2 - 8/x^2 = -7
x^4 - 8 = -7x^2
x^4 + 7x^2 - 8 = 0
(x^2 + 8)(x^2 - 1) = 0
x^2 = 8 = 0 ----> x^2 = -8 ------> no real solution
(or x = ± 2i√2 for complex numbers)
x^2 - 1 = 0
x^2 = 1
x = ± 1
IF x= +1 , then y = -2/1 = -2 ----- (1 , -2)
IF x = -1 , then y = -2/-1 = +2 --- (-1, 2)
algebra - can any one show me where to get free online help with algebra? i need...
Linear algebra - Show that the origin is the only equilibrium point of the ...
Algebra - Solve. Please show the algebraic inequality you used and show all of ...
ALGEBRA - 2^3+6-5X4=12 show how to solve and show operation
Introduction to Algebra MAT 221 - Factor each polynomial completely. Show all ...
algebra - Write the slope-intercept form of the equation of the line.Please show...
College algebra - graph the function using transformations, show and state , a) ...
college algebra - graph the function using transformations, show and state , a) ...
intro to algebra - I have a worksheet to do and I have TO SHOW ALL MY WORK: Can ...
algebra - Help, Can anyone show me how to do the formula to solve these ...