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-x+y = -5- 4x + 4y = -20 Solve by the substitution method

1 Answer

2 votes

Answer:

(x, y) such that y = x - 5.

Step-by-step explanation:

To solve the system by subtitution, we first need to solve the first equation for y, so:

-x + y = - 5

-x + y + x = -5 + x

y = x - 5

Then, we need to substitute y = x - 5 on the second equation, so:

-4x + 4y = -20

-4x + 4(x - 5) = -20

Finally, we need to solve for x:

-4x + 4x - 4(5) = -20

-20 = -20

Since we got equality of -20 = -20, we can say that the system has an infinite number of solutions where y = x - 5.

Answer:

(x, y) such that y = x - 5.

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