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Solve the following system of equations x-2y=14
X+3y=9

User ZhengCheng
by
7.7k points

1 Answer

1 vote

9514 1404 393

Answer:

(x, y) = (12, -1)

Explanation:

I find the simplest solution is often found using a graphing calculator.

(x, y) = (12, -1)

__

We notice that the coefficients of x are identical, so we can eliminate x by subtracting the first equation from the second.

(x +3y) -(x -2y) = (9) -(14)

5y = -5 . . . . simplify

y = -1 . . . . . divide by 5

x = 14 +2y = 14 +2(-1) . . . . using the first equation to find x

x = 12

Solve the following system of equations x-2y=14 X+3y=9-example-1
User Goko Gorgiovski
by
8.8k points

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