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Solve the following linear system through substitution

x/2 = 5-7 and x+y = 7
Option 1: x = 0, y = 7
Option 2: x = -2, y = 9
Option 3: x = -1, y = 8
Option 4: x = 1, y = 6

1 Answer

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Final answer:

To solve the linear system through substitution, we can start by solving the first equation for x. Then, we can substitute this value of x into the second equation and solve for y. The solution to the linear system is x = -4 and y = 11.

Step-by-step explanation:

To solve the linear system through substitution, we can start by solving the first equation for x:



x/2 = 5-7



Multiplying both sides of the equation by 2 gives us:



x = 2(5-7)



Next, we can substitute this value of x into the second equation:



(2(5-7)) + y = 7



Simplifying,



(10-14) + y = 7



-4 + y = 7



Adding 4 to both sides of the equation gives us:



y = 11



Therefore, the solution to the linear system is x = -4 and y = 11.

User Sylwester Gryzio
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