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5 votes
Solve the system by substitution.
y = –2x + 18
y = -4x
HURRY PLEASE

User NrNazifi
by
4.4k points

2 Answers

8 votes

Final answer:

The system is solved by substitution to find that x = -9 and y = 36, making the solution for the system (-9, 36).

Step-by-step explanation:

To solve the system by substitution, we take the first equation y = –2x + 18 and substitute it into the second equation y = -4x. This gives us the following:

–2x + 18 = -4x

Now we can solve for x by adding 2x to both sides:

18 = -2x

Dividing both sides by -2 gives us:

x = -9

To find the corresponding y value, we substitute x back into one of the original equations:

y = -2(-9) + 18

y = 18 + 18

y = 36

The solution to the system is (-9, 36).

User LottaLava
by
4.5k points
4 votes

Answer:

x = -9

Step-by-step explanation:

x = -y/4

y = -2(-y/4) + 18

y = y/2 + 18

y/2 = 18

y = 36

x = -36/4

x = -9

User Swiety
by
4.0k points