Question

Solve the following system of equations express your answers as an ordered pair in the format (a,b) with no spaces between the number of symbols 2x+7y=-1 4x-3y=-19

Answer 1

Double the first equation: 4x+14y=-2 and subtract the second: 17y=17, so y=1. 2x=-7y-1=-7-1=-8, so x=-8/2=-4.
The answer is x=-4 and y=1.

Answer 2

(-4,1)

Explanation:

`2x+7y=-1`

`4x-3y=-19`

Solve the equations for x and y

To solve this equation, we use elimination method. we try to eliminate x

Multiply the first equation by -2

`-4x-14y=2`

`4x-3y=-19` (add both equations)

---------------------------------

`-17y=-17`

Divide both sides by -17

y=1

Plug in y=1 in first equation and solve for x

`2x+7y=-1`

`2x+7(1)=-1`

`2x+7=-1`, subtract 7 on both sides

`2x=-8`

Divide both sides by 2

x=-4

Solution (x,y) is (-4,1)