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  • 02-04-2021
  • Mathematics
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Solve the system of linear equations by substitution.
y = 4x
x +y = -15
The solution of the system is

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cosmickid287
cosmickid287 cosmickid287
  • 02-04-2021

Answer:

(-3, -12)  

Step-by-step explanation (work shown in attached picture):

1) First, since y is already isolated in the first equation, substitute that value of y into the other equation. So, substitute 4x for the y in x + y = -15 and solve for x. We find that x = -3.

2) Then, substitute that value for x back into any one of the equations. I chose to do it with the first equation. Substitute -3 for x in y = 4x, then solve for y this time. This gives us y = -12.

Since x = -3 and y = -12, the solution is (-3, -12).

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