The solution for this system of equations. 12x+ 15y = 34 -6x+ 5y = 3
is (x,y) =(2/3, 8/5)
Given a system of equations,
12x + 15y = 34 ------(1)
-6x + 5y = 3 ------(2),
To solve this we use the elimination method
In the elimination method, you either add or subtract the equations to get an equation in one variable.
Equation (1) + 2 × Equation (2),
We get,
(12x+15y=34)+(-12x+10y=6)
⇒ 15y+10y=34+6
⇒ 25y=40
⇒ y=40/25
⇒ y=8/5
From equation (2),
⇒ -6x+5(y)=6
⇒ -6x+5(8/5)=6
⇒ -6x+8=6
⇒ -6x=-2
⇒ x=2/3
Hence the solution for this system of equations. 12x 15y = 34 -6x 5y = 3
is (x,y =(2/3, 8/5)
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