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juansebas35
29.10.2019 •
Mathematics
Ysquared equals 4x -55
2y plus x equals 40
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Ответ:
If y = - 15 , x = 70 and if y = 7 , x = 26
Step-by-step explanation:
2y + x = 40 1
y^2 = 4x - 55 2
From equation 1, x = 40 - 2y 3
Substitutr equation 3 into equation 2
y^2 = 4( 40 - 2y ) - 55
y^2 = (160 - 8y ) - 55
y^2 = 160 - 8y - 55
y^2 = 160 - 55 - 8y
y^2 = 105 - 8y
y^2 + 8y - 105=0
y^2 + 15y - 7y - 105 = 0
( y^2 + 15y ) - ( 7y + 105 )= 0
y (y + 15 ) - 7 (y + 15 ) = 0
(y + 15 ) (y - 7 ) = 0
y + 15 = 0 OR y - 7 = 0
y = - 15 y = 7
Substitute the value if y into equation 3
If y = - 15
x = 40 - 2( - 15 )
x = 40 + 30
x= 70
If y = 7
x = 40 - 2 ( 7 )
x = 40 - 14
x = 26
Ответ: