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The solution to given system of equations is (x, y) = (2, -1)

Solution:

Given system of equations are:

-1x + 2y = -4   eqn 1

4x + 3y = 5 eqn 2

We can solve the above system of equations by elimination method

Multiply eqn 1 by 4

4(-1x + 2y = -4)

-4x + 8y = -16   eqn 3

Add eqn 2 and eqn 3

4x + 3y = 5

-4x + 8y = -16

( + )

0x + 11y = -16 + 5

11y = -11

y = -1

Substitute y = -1 in eqn 1

-1x + 2(-1) = -4

-x -2 = -4

-x = -4 + 2

-x = -2

x = 2

Check the

Substitute x = 2 and y = -1 in eqn 2

4x + 3y = 5

4(2) + 3(-1) = 5

8 - 3 = 5

5 = 5

Thus the obtained answer is correct

Thus the solution to given system of equations is (x, y) = (2, -1)

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