Question

I don't know how to use elimination without getting decimals when I divide to get like x's or y's The equation for elimination is -4x-2y=14 -10x+7y=-25

Answer 1

Answer:

x=-1, y=-5

Step-by-step explanation:

To solve these simultaneously using elimination

-4x-2y=14 ....(I)

-10x+7y=-25 ......(ii)

The first step is to ensure that the coefficients of one of the variables(x or y) are the same.

This is done by multiplying with an appropriate number.

Let's say we want to eliminate y in the equations above,

Multiply equation (I) all through by 7 to get:

-28x-14y=98

Multiply equation (II) all through by 2 to get:

-20x+14y=-50

-28x-14y=98

-20x+14y=-50

Since the coefficient of y are the same (14), we can now eliminate.

We add the two equations because 14 has different Signs.

-48x=48

x=-1

Substitute x=-1 in equation (I) to get y.

-4x-2y=14

-4(-1)-2y=14

4-2y=14

-2y=14-4

-2y=10

y=-5

Therefore x=-1, y=-5