Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

$T h e space s$ olution o $f space 2 x plus y plus Z equals 1 comma x minus 2 y minus 3 z equals 1 comma$ $3 x plus 2 y plus 4 z equals 5$ is

1,2,3
1,2,‐3
1,‐3,2
1,3,2

hint Hint:

Use combination of elimination and substitution method to obtain the answer.

The correct answer is: 1,‐3,2

$2 x plus y plus z equals 1 space space space space space...... open parentheses 1 close parentheses x minus 2 y minus 3 z equals 1 space space space space..... open parentheses 2 close parentheses 3 x plus 2 y plus 4 z equals 5 space space space...... open parentheses 3 close parentheses M u l t i p l y space e q u a t i o n space open parentheses 1 close parentheses space b y space open parentheses 4 close parentheses comma 8 x plus 4 y plus 4 z equals 4 S u b t r a c t i n g space a b o v e space e q u a t i o n space w i t h space e q u a t i o n space open parentheses 3 close parentheses comma 8 x plus 4 y plus 4 z equals 4 3 x plus 2 y plus 4 z equals 5 minus space space minus space space space space minus space space space space space minus minus negative negative negative negative negative negative negative 5 x plus 2 y equals negative 1 2 y equals open parentheses negative 1 minus 5 x close parentheses y equals fraction numerator negative 1 minus 5 x over denominator 2 end fraction space space space space space..... open parentheses 4 close parentheses S u b t r a c t i n g space e q u a t i o n space open parentheses 3 close parentheses space f r o m space open parentheses 2 close parentheses comma x minus 2 y minus 3 z equals 1 3 x plus 2 y plus 4 z equals 5 minus negative negative negative negative negative negative negative 4 x plus z equals 6 z equals 6 minus 4 x space space space space space space....... open parentheses 5 close parentheses P u t t i n g space e q u a t i o n space open parentheses 4 close parentheses space a n d space open parentheses 5 close parentheses space i n space e q u a t i o n space open parentheses 2 close parentheses comma x minus 2 y minus 3 z equals 1 x minus 2 open parentheses fraction numerator negative 1 minus 5 x over denominator 2 end fraction close parentheses minus 3 open parentheses 6 minus 4 x close parentheses equals 1 x plus 1 plus 5 x minus 18 plus 12 x equals 1 18 x equals 18 therefore x equals 1 P u t t i n g space v a l u e space o f space x space i n space e q u a t i o n space 4 space a n d space 5 comma y equals negative 1 minus 5 x equals negative 1 minus 51 equals negative 6 equals negative 3 z equals 6 minus 4 x equals 6 minus 41 equals 6 minus 4 equals 2 H e n c e comma space w e space g e t x equals 1 y equals negative 3 z equals 2$

Related Questions to study

A particle X moving with a certain velocity has a debroglie wave length of 1Å.If particle Y has a mass of 25% that of X and velocity 75% that of X, debroglies wavelength of Y will be-

A particle X moving with a certain velocity has a debroglie wave length of 1Å.If particle Y has a mass of 25% that of X and velocity 75% that of X, debroglies wavelength of Y will be-

chemistry-General

In n&l are principal and azimuthal quantum no. respectively then the experession for
calculating the total no. of electron in any level is-

In n&l are principal and azimuthal quantum no. respectively then the experession for
calculating the total no. of electron in any level is-

chemistry-General

Which is correct relationship:

Which is correct relationship:

chemistry-General

parallel

In which transition, one quantum of energy is emmited:

In which transition, one quantum of energy is emmited:

chemistry-General

For any H like system, the ratio of velocities of I,II&III orbit i.e.V₁:V₂:V₃will be

For any H like system, the ratio of velocities of I,II&III orbit i.e.V₁:V₂:V₃will be

chemistry-General

An orbital with ι=0 is Symmetrical about the:

An orbital with ι=0 is Symmetrical about the:

chemistry-General

parallel

The configuration 1s²,2s²2p⁵,3s¹shows:

The configuration 1s²,2s²2p⁵,3s¹shows:

chemistry-General

An isotone of ₃₂Ge⁷⁶ is
i) ₃₂Ge
ii)₃₃As
iii)₃₄Se⁷⁷
iv)₃₄Se⁷⁸

An isotone of ₃₂Ge⁷⁶ is
i) ₃₂Ge
ii)₃₃As
iii)₃₄Se⁷⁷
iv)₃₄Se⁷⁸

chemistry-General

In $straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses tan invisible function application C over 2 equals$

In $straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses tan invisible function application C over 2 equals$

parallel

Setofmoleculeswhichareisoelectronic is:
a)N₂andCO
b)CO₂&laughinggas
c)CaO and MgS
d) Benzene& Borazole

Setofmoleculeswhichareisoelectronic is:
a)N₂andCO
b)CO₂&laughinggas
c)CaO and MgS
d) Benzene& Borazole

chemistry-General

The atomic mass 25 had 13 neutron’s in its nucleus what its ions will be:

The atomic mass 25 had 13 neutron’s in its nucleus what its ions will be:

chemistry-General

Atom’s ₆C¹³ and ₈O¹⁷are related to each the element

Atom’s ₆C¹³ and ₈O¹⁷are related to each the element

chemistry-General

parallel

Atomic weight of Ne is 20.2 Ne is mixture of Ne²⁰and Ne²², Relative abundance of heavier isotope is:

Atomic weight of Ne is 20.2 Ne is mixture of Ne²⁰and Ne²², Relative abundance of heavier isotope is:

chemistry-General

Which of the following statement concerning the two isotopes ₁₃Al²⁷ and ₁₄Si²⁷ are not incorrect

Which of the following statement concerning the two isotopes ₁₃Al²⁷ and ₁₄Si²⁷ are not incorrect

chemistry-General

The electronic configuration of adi positive metal ion M²⁺is 2,8,14and its ionic weigth is 58a.m.u.Thenumberofneutrons in its nucleus would be:

The electronic configuration of adi positive metal ion M²⁺is 2,8,14and its ionic weigth is 58a.m.u.Thenumberofneutrons in its nucleus would be:

chemistry-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.