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2 years ago

Solve the system using elimination.

Mathematics

2 answers:

cricket20 [7]2 years ago

7 0

Solving for x and y,

→ (x - 5y = -16) + (-x + 3y = 10)

→ x - 5y - x +3y = -16 + 10

→ -2y = -6

→ y = -6/-2

→ [ y = 3 ]

Finding the value of x,

→ x - 5y = -16

→ x - 5(3) = -16

→ x - 15 = -16

→ x = -16 + 15

→ [ x = -1]

___________________

→ -x + 3y = 10

→ -x + 3(3) = 10

→ -x + 9 = 10

→ -x = 10 - 9

→ [ x = -1 ]

Arranging them in ordered pair,

→ (x,y)

→ (-1,3)

Thus, the solution is (-1,3).

Molodets [167]2 years ago

5 0

Answer:

(-1, 3)

Step-by-step explanation:

x - 5y = -16 [Equation 1]

-x + 3y = 10 [Equation 2]

<u>Adding both equations</u>

x - x - 5y + 3y = -16 + 10
-2y = -6
y = 3

x - 5(3) = -16
x - 15 = -16
x = -1

<u>Solution</u> : (-1, 3)

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