Asked by amaa
Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.)
4x^2− 27y^3 = 35
8x^2+54y^3= 74
4x^2− 27y^3 = 35
8x^2+54y^3= 74
Answers
Answered by
Damon
divide the second equation by 2
and the two equations are
4x^2 − 27y^3 = 35
4x^2 + 27y^3 = 37
--------------------- add
8 x^2 = 72
x^2 = 9
x = +/- 3
if x = + 3
36 -27 y^3 =35
-27 y^3 = -1
y^3 = 1/27
y = 1/3
so (3,1/3) would be a solution
same solution for y
and the two equations are
4x^2 − 27y^3 = 35
4x^2 + 27y^3 = 37
--------------------- add
8 x^2 = 72
x^2 = 9
x = +/- 3
if x = + 3
36 -27 y^3 =35
-27 y^3 = -1
y^3 = 1/27
y = 1/3
so (3,1/3) would be a solution
same solution for y
Answered by
chase
which answer best describes the number of solutions for the following system of equations? 4x+2y = 5 8x+2y = -6 answers
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