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Solve the system using elimination.

2x ā€“ 2y = ā€“8
x + 2y = ā€“1

(ā€“3, 1)

(ā€“14, 1)

(0, 4)

(1, 5)

Answer :

Answer:

(- 3, 1 )

Step-by-step explanation:

2x - 2y = - 8 ā†’ (1)

x + 2y = - 1 ā†’ (2)

adding the 2 equations term by term will eliminate y

3x + 0 = - 9

3x = - 9 ( divide both sides by 3 )

x = - 3

substitute x = - 3 into either of the 2 equations and solve for y

substituting into (2)

- 3 + 2y = - 1 ( add 3 to both sides )

2y = 2 ( divide both sides by 2 )

y = 1

solution is (- 3, 1 )

Chibabykalu16go

Answer:

(ā€“3, 1)

Step-by-step explanation:

Step 1: Solve for x

2x ā€“ 2y = ā€“8 -----------(1)

x + 2y = ā€“1. -------------(2)

  • Add equation 1 to 2

ā‡’2x + x| -2y + 2y |= -8 -1

ā‡’3x = -9

  • Divide both side by the coefficient of x

ā‡’3x/3 = -9/3

ā‡’x = -3

Step 2; Solve for y

  • Substitute into equation 2

x + 2y = ā€“1

(-3) + 2y = -1

  • Add 3 from both sides

-3 + 2y + 3 = -1 + 3

2y = 2

  • divide both side by two

2y/2 = 2/2

y = 1

So, ( x,y) ā‡’(-3,1)

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