Answered

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Solve the simultaneous equations
2x - y = 6
3x + y = 14

Sagot :

gh8186

Answer:

x = 4

y = 2

Explanation:

2(4) = 8 - 2 = 6

3(4) = 12 + 2 = 14
Step by step explanation:
2x - y = 6 —(1)
3x + y = 14 —(2)

Make y in (2) the subject:
y = 14 - 3x —(3)

Substitute (3) into (1):
2x - (14 - 3x) = 6
2x - 14 + 3x = 6
5x - 14 = 6
5x = 6 + 14
5x = 20
x = 20 / 5
x = 4

Substitute x = 4 into (2):
3(4) + y = 14
12 + y = 14
y = 14 - 12
y = 2

ANS : x = 4, y = 2
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