Q2 of 92 Page 69

To eliminate y, what number is multiplied with the equation 7x – 5y + 2 = 0 and then add to the equation 2x + 15y + 3 = 0.

To eliminate y, we have to make the coefficient of y in both the equations equal, so we have to multiply the coefficient of y with such a number that makes them equal to the common multiple of both of them.


In this case, equation 7x – 5y + 2 = 0 should be multiplied by 3 such that the coefficient of y will be equal to 15 in both the cases.


More from this chapter

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1

Let us solve the following simultaneous linear equations in two variables by the method of elimination and check them graphically:

8x + 5y – 11 = 0


3x – 4y – 10 = 0

 1

Let us solve the following simultaneous linear equations in two variables by the method of elimination and check them graphically:

2x + 3y – 7 = 0


3x + 2y – 8 = 0

 3

Let us write the least natural number by which we can multiply both the equations and get the equal co - efficients of x, where the equations are 4x – 3y = 16 and 6x + 5y = 62.

 4

Let us solve the following linear simultaneous equations in two variables by the method of elimination:

3x + 2y = 6


2x – 3y = 17