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Can you please solve 4 simultaneous equations? And could you please help me cause I need to know how to do it for my quiz!?
And could you please show me how you do it
1. 3x- 2y=1
(x-2)^2 + (2y+3)^2 = 26
2. 2y + 3y=5
x^2 + xy - 2y = 10
3. x - 5y = 8
x^2 + 9y^2 + 3x = 30 + xy
1 Answer
- Barry GLv 76 years ago
1. 3x- 2y = 1
(x-2)^2 + (2y+3)^2 = 26
2y+3 = 3x+2
(x-2)^2 + (3x+2)^2 = 26
x^2-4x+4 + 9x^2+12x+4 = 26
10x^2+8x-18 = 0
5x^2+4x-9 = 0
(5x+9)(x-1) = 0
x = +1 or -9/5
2y = 3x-1 = +2 or -32/5
y = +1 or -16/5.
2. 2y + 3y=5
x^2 + xy - 2y = 10
I suspect the 1st eqn is typed incorrectly - maybe the 2nd also.
3. x - 5y = 8
x^2 + 9y^2 + 3x = 30 + xy
x = 5y+8
(5y+8)^2 + 9y^2 + 3(5y+8) = 30 + y(5y+8)
25y^2+80y+64 + 9y^2 + 15y+24 = 30 + 5y^2+8y
29y^2+87y+58 = 0
y^2+3y+2 = 0
(y+1)(y+2) = 0
y = -1 or -2
x = 5y+8 = +3 or -2.