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What is the solution to the system of equations {−2x+4y=1−4x+3y=12

Sagot :

The solution to the system of equation is ( -4.5 , -2)

What is a system of Equation ?

A system of equation is a set of equations that have a common solution.

The set of equation given are

-2x +4y  = 1

-4x +3y = 12

To find the solution , Elimination Method will be used

Multiplying equation 1 by 2 and then

Subtracting equation 1 by 2

-4x +8y = 2

-4x +3y = 12

+        -       -

5y = -10

y = -2

Substituting this value to determine the value of x

-2x -8 = 1

-2x = 9

x = -4.5

Therefore the solution to the system of equation is ( -4.5 , -2)

To know more about System of Equation

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