Question

Solve this system of linear equations. Separate
the x- and y-values with a comma.
-20x = -16 - 9y
- 14x = -22 - 9y

Answer 1

Answer:

(x, y)

(-1, -4)

Step-by-step explanation:

$-20x=-16-9y\\-14x=-22-9y$

Solve by elimination, subtract the 2nd row from the 1st row:

$(-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6$

Solve for x in the equation above

$-6x=6\\x=-1$

Now we have the value of X, substitute it into any of the 2 original equations:

$-20x=-16-9y\\-20(-1)=-16-9y$

Solve for y:

$-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4$

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