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

Answer:

(-4,1)

Step-by-step 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)

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$-17y=-17$

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)

Answer 2

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.