Answer: the solution to that system is x = 2, y = 6
Step-by-step explanation:
The solution of that sysment of two equations is as follows:
1) Mutolply the first equation by 2:
8x - 4y = - 8
2) Subract that equation with the other equation given:
8x - 4y = - 8
8x - 6y = - 20
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8x - 8x - 4y - (-6y) = - 8 - (-20)
=> -4y + 6y = - 8 + 20
=> 2y = 12
=> y = 12/2
=> y = 6
3) replace y = 6 in any of the two given equations:
4x - 2(6) = - 4
=> 4x - 12 = - 4
=> 4x = 12 - 4
=> 4x = 8
=> x = 8/4
=> x = 2
4) verify.
a) 4x - 2y = -4
4(2) - 2(6) = - 4
8 - 12 = - 4
- 4 = -4 check
b) 8x - 6y = - 20
8(2) - 6(6) = - 20
16 - 36 = - 20
- 20 = - 20 check
5) Verified solution: x = 2, y = 6