Question

2x-5y=3 4y-x=-3 solve by elimination

Answer 1

x = -1 and y = -1

Explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 ............................................. equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient of y which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 ............................................. equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively