Q. 1 E4.7( 3 Votes )

# Solve the following system of equations by elimination method:8x + 5y = 93x + 2y = 4

Given pair of linear equations is

8x + 5y = 9 …(i)

And 3x + 2y = 4 …(ii)

On multiplying Eq. (i) by 2 and Eq. (ii) by 5 to make the coefficients of y equal, we get the equation as

16x + 10y = 18 …(iii)

15x + 10y = 20 …(iv)

On subtracting Eq. (iii) from Eq. (iv), we get

15x + 10y – 16x – 10y = 20 – 18

– x = 2

x = – 2

On putting x = – 2 in Eq. (ii), we get

3x + 2y = 4

3( – 2) + 2y = 4

– 6 + 2y = 4

2y = 4 + 6

2y = 10 Hence, and , which is the required solution.

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