By using elimination method, (11,-12) point is the solution to the system of equations.
What is elimination method?
"The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables."
Given system of equations
x + 2y = 10...................(1)
3x + 4y = 8.................(2)
By using elimination method, multiply equation (1) with (3).
Equation (1): 3x + 6y = 30..................(3)
Subtract equation (2) from (3)
3x + 6y - (3x + 4y) = 30 - 8
3x +6y - 3x - 4y = 22
2y = 22
y = \(\frac{22}{2}\)
y = 11
Substituting y = 11 in equation (1)
x + 2y = 10
⇒ x + 2(11) =10
⇒ x = 10 - 22
⇒ x = -12
Hence, (11,-12) point is the solution to the system of equations.
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