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

x = - 1 and y = - 1

Step-by-step 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