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.
Bob is 2 years from being double as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen? Let x = Ellen's age and let y = Bob's age. Sin
A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x? (An
Calculate the linear equation: Example: Solve the equation 4x + 3 = 19 by transposing. Solution: Step 1. Transpose the 3 from the left-hand to the right-hand si
A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.
5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1
In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.
The Definition of the Limit In this section we will look at the precise, mathematical definition of three types of limits we'll be looking at the precise definition of limits
Differentiate following. f ( x ) = sin (3x 2 + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.
The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar
how do you write this polynomial in standerd form 5x3 + x5 - 8 + 4x ?
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