Verified Answer :

Ckaranja

y=2x-3.5
x-2y=-14
Solving by substitution by x in equation II the subject of the formula;
x=2y-14
Replacing in the first equation;
y=2(2y-14)-3.5
y=4y-28-3.5
y=4y-31.5
y-4y=-31.5
-3y=-31.5
y=\(\frac{-31.5}{-3}\)
y=10.5

calculista

we have the system of equations

\(y=2x-3.5\) --------> equation \(1\)

\(x-2y=-14\) --------> equation \(2\)

Multiply by \(2\) equation \(1\)

\(2y=4x-7\) --------> equation \(3\)

Adds equation  \(2\) and equation \(3\)

\(x-2y=-14 \\ 2y=4x-7\\ --------\\ x=-14+4x-7\\ 4x-x=14+7\\ 3x=21\\ x=7\)

Find the value of y

\(y=2x-3.5\)

\(y=2*7-3.5\)

\(y=10.5\)

the solution of the system is the point \((7,10.5)\)

therefore

the answer is

\((7,10.5)\)

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