3x-57-450 and 9x=2y +7
substitution method
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Step-by-step explanation:
x = 27/26, y = -5/13
Step-by-step explanation:
Substitution method:
Given pair of equations,
3x-5y = 4
=> 3x = 4+5y ----(1)
and
9x-2y = 7 ----(2)
Substitute equation (1) in equation (2), we get
=> 3(4+5y)-2y = 7
=> 12+15y-2y = 7
=> 13y = 7 - 12
=> 13y = -5
=> y = -5/13
Put y value in equation (1),we get
3x = 4+5\times \left(\frac{-5}{13}\right)
\implies 3x = 4-\frac{25}{13}
\implies 3x = \frac{52-25}{13}
\implies x = \frac{27}{26}
Elimination method:
3x-5y = 4 ---(1)
9x -2y = 7 ---(2)
/* multiply equation (1) by 3 , and subtract from equation (2), we get
9x-2y = 7
9x-15y = 12
_______________
0 + 13y = -5
_______________
y = -5/13
/* Substitute y = -5/13 in equation (1) , we get
3x - 5(-5/13)=4
=> 3x +25/13 = 4
=> 3x = 4-(25/13)
=> 3x = (52-25)/13
=> x = 27/26
Therefore,.
x = 27/26, y = -5/13