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Substitution y=6x+11 2y-4x=14

User NeelIVP
by
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2 Answers

5 votes
The first equation is already solved for y, so substitute it in the second equation.

2y - 4x = 14

2(6x + 11) - 4x = 14

12x + 22 - 4x = 14

8x + 22 = 14

8x = -8

x = -1

Now substitute x = -1 into the first original equation to find y.

y = 6x + 11

y = 6(-1) + 11

y = -6 + 11

y = 5

Solution: x = -1; y = 5
User Intrepidkarthi
by
7.7k points
3 votes
y = 6x + 11 ------ (1)
2y - 4x = 14 ----- (2)

Sub (1) into (2):
2 (6x + 11) - 4x = 14
12x + 22 - 4x = 14
8x + 22 = 14
8x = -8
x = -1 --- sub back into (1)
y = 6 (-1) + 11 = 5

Answer: x = -1 and y = 5

User Barzos
by
8.2k points

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