Solve this system of linear equations. Separate
2 answers:
- 7x=-63-11y-(1)
- 8x=93+11y--(2)
Adding both
Putting in second one
- 8(2)=93+11y
- 11y=16-93
- 11y=-77
- y=-7
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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