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Anika [276]
2 years ago
15

Solve this system of linear equations. Separate

Mathematics
2 answers:
AleksAgata [21]2 years ago
5 0
  • 7x=-63-11y-(1)
  • 8x=93+11y--(2)

Adding both

  • 15x=30
  • x=2

Putting in second one

  • 8(2)=93+11y
  • 11y=16-93
  • 11y=-77
  • y=-7
Nadusha1986 [10]2 years ago
3 0

Answer:

2, -7

Step-by-step explanation:

<h3><u>Question</u></h3>

Solve the system of linear equations:

  • 8x = 93 + 11y
  • 7x = -63 - 11y

-------------------------------------------------------------------------------------

<h3><u>Solution</u></h3>

Add the equations together to eliminate y:

     8x = 93 + 11y

+    7x = -63 - 11y

    -------------------

    15x = 30

⇒ x = 30 ÷ 15

⇒ x = 2

Now substitute the found value of x into one of the equations and solve for y:

⇒ 7x = -63 - 11y

⇒ 7(2) = -63 - 11y

⇒ 14 = -63 - 11y

⇒ 11y = -63 - 14

⇒ 11y = -77

⇒ y = -77 ÷ 11

⇒ y = -7

Therefore, x = 2 and y = -7

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Step-by-step explanation:

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