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<h3>Option d) 4x + 2y = 10 and 8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations</h3>Step-by-step explanation:
Given equations are
First find the solution to the given system of equations by elimination method
Multiply the equation (2) into 2 we get
Now adding the equations (1) and ( 3) we get
_______________
x=2
Therefore the value of x is 2
Substitute the value of x in equation (1) we get
y=1
Therefore the value of y is 1
Therefore the solution to the given system of equations is (2,1)
<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>Verify the equations and 8x = 16
From 8x=16
x=2
Therefore the value of x is 2
Substitute x=2 in equation (4) we get
4(2)+2y=10
8+2y=10
2y=10-8
2y=2
y=1
Therefore the value of y is 1
Therefore the solution is (2,1)
<h3>Therefore option d) 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations </h3>