Question

Somebody please help me with my homework it do tomorrow!!!

Answer 1

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 answer:

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)