SOLUTION: Listed under "Simultaneous equation of which one is linear and one is quadratic" y=x2+2x-15 and x=2y+10

Question 895219: Listed under "Simultaneous equation of which one is linear and one is quadratic"
y=x2+2x-15 and x=2y+10
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Listed under "Simultaneous equation of which one is linear and one is quadratic"
y=x^2+2x-15 and x=2y+10
sub (2y+10)for x in 1st equation
y=(2y+10)^2+2(2y+10)-15
y=4y^2+40y+100+4y+20-15
4y^2+43y+105=0
(y+7)(4y+15)=0
y=-7
x=-4
or
y=-15/4=-3.75
x=2.5
points of intersection: (-4,-7) and (2.5,-3.75)

RELATED QUESTIONS
what is the solution set of this simultaneous equation 2x + 3y = 10 and 3x - 2y = 2... (answered by Boreal)

Write a system of equations with one linear equation and one quadratic equation for which (answered by Alan3354)

what is is the value of x and y in the simultaneous equation 2x+2y=4 (answered by Fombitz)

Solve this equation, one is simultaneous, one is linear x^2 + y^2 = 9 x + y =... (answered by MathLover1)

Simultaneous equations - one linear, one quadratic x^2 + y^2 = 25 x - y + 1 =... (answered by Alan3354)

Simultaneous equations - one linear, one quadratic Solve the following equations: xy (answered by epistrophy990,MathTherapy)

Simultaneous equations- one linear one quadratic Xsquared+ysquared=20 X-2y=0 (answered by fractalier)

Which is the best step to take to solve the following system of linear equations? 2x - (answered by josgarithmetic)

what is is the value of x and y in the simultaneous equation 2x+27=4... (answered by checkley77)