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1 y = x - 4

2 5x + y = 20
To solve the system by substitution, substitute x - 4 for y in equation 2.
5x + ___ = 20

A. 5

B. x - 4

C. 4

D. x + 4

1 Answer

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Final answer:

To solve the system by substitution, you need to substitute x - 4 for y in equation 2 which results in 6x - 4 = 20. The missing term in the blank is D. x + 4.

Step-by-step explanation:

To solve the system of equations by substitution, we need to substitute the value of y in equation 2 with the expression x - 4. The original equation 2 is 5x + y = 20. When we substitute x - 4 for y, the equation becomes 5x + (x - 4) = 20. Simplifying this equation gives us 6x - 4 = 20. To find the missing term that should replace the blank, we isolate the term with x by adding 4 to both sides of the equation, resulting in 6x = 24. Dividing both sides by 6, we get x = 4. Therefore, the missing term is D. x + 4.

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