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Solve the system by substitution. -2x - y = -14 3x - y = 11​

User Gakhov
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1 Answer

6 votes

Answer:

x = 5; y = 4

Explanation:

We can solve the system by substitution using the following steps:

Step 1: Isolate y in -2x - y = -14:

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

(-y = 2x - 14) / -1

y = -2x + 14

Solving for x:

Step 2: Substitute -2x + 14 for y in 3x - y = 11 to solve for y:

3x - (-2x + 14) = 11

3x + 2x - 14 = 11

(5x - 14 = 11) + 14

(5x = 25) / 5

x = 5

Thus, x = 5

Solving for y:

Step 3: Plug in 5 for x in -2x - y = -14 to solve for y:

-2(5) - y = -14

(-10 - y = -14) + 10

(-y = -4) / -1

y = 4

Thus, y = 4

User Simone Nigro
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