Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Method
In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to get the value of the other variable. Let us look at it.
We are given two equations 3x + 4y = 10 and 4x + y = 9. We write them as follows.
3x + 4y = 10 ........(1)
4x + y = 9 ........(2)
In this example, let us eliminate y. Multiply equ. (2) by 4. We have
4(4x + y = 9)
which is 16x + 4y = 36 ........(3)
We observe that the coefficients of y in equations (1) and (3) are one and the same, and therefore, we subtract equ.(1) from equ.(3).
16x + 4y = 36
- (3x + 4y = 10)
13x + 0 = 26
At this point one should remember that the signs of equation (1) should be changed before subtracting.
13x = 26
x = 26/13 = 2
We now substitute the value of x = 2 in either equ. (1) or (2). Let us substitute in equ. (2).
4x + y = 9
4(2) + y = 9
8 + y = 9
y = 9 - 8 = 1
That is, the values of x and y for which both the equations are satisfied are x = 2 and y = 1.
We substitute these values in equ. (1) and check.
3x + 4y = 10
3(2) + 4(1) = 10
6 + 4 = 10
10 = 10
That is, LHS = RHS.
Figure shows noise results for a prototype van measured on a rolling road. The vehicle had a four-cylinder-in-line engine. The engine speed was varied in 3rd gear from just above
what''s the main purpose of algebra in our daily life
Cycloid The parametric curve that is without the limits is known as a cycloid. In its general form the cycloid is, X = r (θ - sin θ) Y = r (1- cos θ) The cycloid pre
Systematic Sampling Systematic sampling is a part of simple random sampling in descending or ascending orders. In systematic sampling a sample is drawn according to some predet
Uses of derivative in daily life with examples.
which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d.10/15
Find the area of shaded region of circle of radius =7cm, if ∠AOB=70 o , ∠COD=50 o and ∠EOF=60 o . (Ans:77cm 2 ) Ans: Ar( Sector AOB + Sector COD + Sector OEF) = 7
Root of function: All throughout a calculus course we will be determining roots of functions. A root of function is number for which the function is zero. In other terms, determ
How to learn probability?
If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans: Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd