solve the following pair of equations: 3x−y=23, 3 x + 4 y =4
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Step-by-step explanation:
ANSWER
We pick either of the equations and write one variable in terms of the other.
Let us consider the equation 3x−y=23 and write it as
y=3x−23...........(1)
Substitute the value of y in Equation
3
x
+
4
y
=4 or 4x+3y=48. We get
4x+3(3x−23)=48
i.e. 4x+9x−69=48
i.e. 13x=117
i.e. x=9
Therefore, x=−9
Substituting this value of x in equation 1, we get
y=27−23
i.e. y=4
Hence, the solution is x=9,y=4.
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