Question

Solve this system of linear equations. Separate
the x- and y-values with a comma.
7x = -63 - 11y

Answer 1

• 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

Answer 2

Answer:

2, -7

Step-by-step explanation:

Question

Solve the system of linear equations:

• 8x = 93 + 11y
• 7x = -63 - 11y

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

Solution

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