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1 vote
-0.18x + y = -6.54
-2.8x - y = -2.4

1 Answer

2 votes

Answer:

The solution is (-3, 10.8)

Explanation:

While it's rather obvious that you want to solve this system of linear equations, you should share that instruction when you post the problem.

To solve this system using elimination by addition and subtraction, combine the two equations as shown below (to eliminate y):

-0.18x + y = -6.54

-2.8x - y = -2.4

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

-2.98x = -8.94

Dividing both sides by -2.98, to isolate x, yields: x = -8.94 / (-2.98) = -3.

Then x = 3. Find y from -2.8x - y = -2.4: -2.8x + 2.4 = y, and here,

y = -2.8(-3) + 2.4 = 8.4 + 2.4 = 10.8

Then the solution is (-3, 10.8)

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