Question

GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by elimination:

-4x + y = 6

-5x - y = 21

Group of answer choices

(6 , -3)

(-3 , 6)

(3 , 6)

(-3 , -6)

Answer 1

Answer:
1). Simplifying
-4x + y = 6

Solving
-4x + y = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
-4x + y + -1y = 6 + -1y

Combine like terms: y + -1y = 0
-4x + 0 = 6 + -1y
-4x = 6 + -1y

Divide each side by '-4'.
x = -1.5 + 0.25y

Simplifying
x = -1.5 + 0.25y
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2). Simplifying
-5x + -1y = 21

Solving
-5x + -1y = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.
-5x + -1y + y = 21 + y

Combine like terms: -1y + y = 0
-5x + 0 = 21 + y
-5x = 21 + y

Divide each side by '-5'.
x = -4.2 + -0.2y

Simplifying
x = -4.2 + -0.2y