The values of x and y are 31 and 4 respectively
Given the expressions as;
2x-9y=26 (1)
6x-2y=-22 (2)
Make 'x' the subject from (1)
2x = 26 + 9y
x = 26 + 9y/ 2 (3)
Substitute value of x into (2)
6x-2y=-22
6 ( 26 + 9y/ 2) - 2y = -22
expand the bracket
156 + 54y/ 2 - 2y = -22
Find the LCM
156 + 54y - 4y / 2 =-22
cross multiply
156 + 54y - 4y = -44
collect like terms
50y = -44 - 156
50y = 200
y = 4
Substitute y = 4 in (3)
x = 26 + 9y/ 2
x = 26 + 9(4)/ 2
x = 62/ 2
x = 31
Thus, the values of x and y are 31 and 4 respectively
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