Question

solve 8x+5y=9 and 3x+2y=4 and hence find the value of m for which y=mx+3

Answer 1

Answer:

solve 8x+5y=9 and 3x+2y=4 and hence find the value of m for which y=mx+3

Answer 2

Answer:

Step-by-step explanation:

The easiest method to use for solving these type of questions is the method of elimination.

8x + 5y = 9 (i)

Multiply both sides by 2 we get,

16x + 10y = 18(iii)

3x + 2y = 4 (ii)

Multiply both sides by 5 we get,

15x + 10y = 20 (iv)

Subtracting (iv) from (iii) we get,

16x - 15x + 10y - 10y = 18 - 20

x = -2

Put the value of x in (i)

So we get,

8 x -2 + 5y = 9

-16 + 5y = 9

25 = 5y

y = 5

y = mx + 3

Put the values,

5 = -2x + 3

2 = -2x

x = -1

Hope this helps