2x+y = 11 and 7x-4y=-14. using substitution method
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Step-by-step explanation:
2x + y = 11 → y = 11 - 2x (1)
7x-4y = -14 (2)
Substituring (1) into (2), we have
7x - 4(11 - 2x) = -14 simplify
7x - 44 + 8x = -14
15x - 44 = - 14 add 44 to both sides
15x = 30 divide both sides by 15
x = 2 and using (1) to find y, we have y = 11 - 2(2) = 11 - 4 = 7
Answered by
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Answer:
2x+y=11×7
7x-4y=-14×2
14x+7y-77=0
14x-8y+28=0
- + -
__________
+15y-105=0
15y=105
y=105÷5
y=21
2x+21=11
2x=11-21
x=-10/2
x=-5
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