Elimination
What are the x values of
y = x2 + 3x + 2 and -3y = x2 - 5x - 30
(USE ELIMINATION)
X = 2 and X = -3
y + 10 = 3x2 + 5x - 4 and 2y + 3 = 2x2 - 6x + 11. Given the previous equations what is the x value of the intersection?
X = -5
X = 1
If given the equations y = 3x2 + 2x +1 and 2y = 9x + 3, solve for the x values using the quadratic equation. (Hundreth decimal place).
X = 1
X = -0.17
Marsha throws a ball up in the air to Meghan. It makes a parabola. Meghan then throws the ball to Max, making another parabola. The equations are 7x2 - 3x + 9 + 5y = 0 and 4x2 + 2y + 16 = 0. What are the simplified equations that can be used for substitution?
7x2 - 3x + 9 = -5y
2x2 + 8 = y
How many solutions can a system with two quadratic functions have?
0, 1, 2
Using elimination determine the simplified equation of the following equation without the variable y in said equation. 3y = 4x2 - x + 2 and 9y = 5x + 7
0 = -12x2 + 8x +1
What is the simplified equation of the following equations after using substitution. y = 4x2 + 9x + 3x - 17 and 4y - 5 = x2 - 2 + 8x - 6x
15x2 + 46x - 71
6y + 4x = 2x2 - 2x - 5 and -3y = 4x2 + x + 1. Solve using the quadratic equation.
X = 0.75
X = -0.35
Grace has arch ways with different parabolas to represent them. If she puts them together, what will the x values of the intersections? 2y = 3x2 + 7x - 8 and y = 5x - 2 *hint use quadratic equation
X = 1.65
X = -0.65
What will the x’s be if the following equation was fully solved/simplified? (Square root symbol covers all of the numbers on the top.) x = -8 +or- √82 - 4(12)(2) / 2(12)
Imaginary roots.
Use elimination to solve for the intersection of the following equations. 8y = 2x2 + 3x + 5x + 1 + (-1) and 2y + 1 = x2 - 3x
(10.2,36.22)
(-0.2,-0.78)
Use substitution to determine the x values of the intersection. -2x - y = 52 and 3y = -4x2 + 6 - 2x
X = 61.52
X = -0.02
(Round to nearest hundredth place) Simplify the following equations to one, and then use the quadratic equation to solve for the x values of the intersection point(s). 7y = 14x2 + 28x - 49 and 2y = 4x2 - 3x - 5
X = 19.22
X = -0.78
Kyle kicks a football twice, each going on slightly different parabolic curves. One curve can be represented by 3x2 + 4x - 12 = y and the other one is represented by 4y = 2x2 -12x. What are the x values of the intersection points?
X = -4
X = 6/5 or 1.2
Is elimination or substitution better to use in this scenario?
2y + 4 = 3x2 + 9 - 7x and 3x + 6 = -y - 2x2 + 12
Substituion
You have two unknown integers. Double and square the larger number by five times the larger number equals triple the smaller number subtracting 7. Negative quadruple the larger number by negative quadruple the smaller number equals 12. What are the two integers values?
(-2,-5) and (-4,-7)
Determine the values of m and n if (2,4) is a solution to the following system of equations.
mx2 - y = 24 and mx2 - 4y = n
M = 7
N = 12
A parabola has a vertex of (4,7) and it passes though the point (2,3). A second parabola has a vertex of (2,-2) and has an y intercept of -10. What is the coordinate of intercection?
The only intersection point is (5,6)