Question

Solve the following simultaneous equations using an algebraic method (not graphical). 2x + 5y = 0 3x – 4y = 23​

Answer 1

Answer:

Given 2x + 5y = 0 and 3x - 4y = 23

find x and y values

2x + 5y = 0 let equation (1)

3x - 4y = 23 let equation (2)

solving equation 1 and 2

(2x + 5y) = 0/ 3x - 4y = 23

multiply equation 1 by 3 and multiply equation 2 by 2

subtract equation 1 from 2

6x + 15y = 0

-(6x -8y = 46)

6x + 15y = 0

-6x +8y = -46

0x + 23y = -46

23y = -43

y = -43/23

y = -2

put y value in equation 1 i.e 2x + 5y = 0

2x + 5y = 0

2x + 5(-2) = 0

2x -10 = 0

2x = 10

x = 10/2

x = 5

. ‘ . the x and y values are (5 , -2)

Answer 2

Answer:

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