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What are the points of intersection of the equations of 3x minus 2y equals 1 and 3x squared minus 2y squared plus 5 equals 0 showing details of your work?
A: 3x-2y = 1 => 3x = 1+2y B: 3x2-2y2+5 = 0 => 3x2 = 2y2-5 Square both sides in equation A: 9x2 = 1+4y+4y2 Multiply all terms by 3 in equation B: 9x2 = 6y2-15 So it follows that:- 6y2-15 = 1+4y+4y2 and 6y2-15-1-4y-4y2 = 0 Collect like terms: 2y2-4y-16 = 0 Divide all terms by 2: y2-2y-8 = 0 Factorise: (y-4)(y+2) = 0 Therefore: y = 4 or y = -2 Substitute the above y values into the linear equation to find the values of x: The points of intersection are: (3, 4) and (-1,-2)
Combine like terms?
mathematics: to combine terms that are alike
Is 4x-6y2 parallel to 2x 3y12?
I guess your two equations are:4x - 6y = 22x + 3y = 12Since the plus (+) and equals (=) signs have been stripped from your question.If this is the case, then they are not parallel since their gradients are not the same.Without working them out exactly, it can be seen that one is positive (equation 1.) and the other is negative (equation 2.):4x - 6y = 2 ⇒ 6y = 4x - 2 ⇒ +ve gradient2x + 3y = 12 ⇒ 3y = -2x + 12 ⇒ -ve gradient
What is the answer to 6y times y?
The answer to 6y times y is 6y^2. This is because when you multiply two terms with the same base (y in this case), you add the exponents. In this case, the exponent on y is 1 for both terms, so 1 + 1 = 2, giving us y^2. The coefficient 6 remains unchanged in the final answer.
Factor the trinomial 6y2 plus 19y-13?
There is no rational factorisation of 6y2 + 19y - 13 The roots are [-19 +/- sqrt(673)]/12 which are -3.74519 and 0.57852
How do you write this expression in factor form 6y2 plus 21y plus 18?
3(2y + 3)(y + 2)
Which binomial is a factor of 6y squared plus 17y -14?
6y2+17y-14 = (2x+7)(3x-2) when factored
Which is the common factor of the expression 6y2 27y?
It is: 3y and y
How do you factor 6y2-29y-5?
It is: (6y+1)(y-5) when factored
How do you factor 6y2-10y-4?
2(3y + 1)(y - 2)
What is the factor of 15y3 6y2?
3y^2(5y + 2)
What is the width of a rectangle if the area is 3x2 plus 9xy plus 6y2 and the length is 3x plus 6y?
A = 3x2 + 9xy + 6y2l = 3x + 6yA = l×w∴ w = A/l∴ w = (3x2 + 9xy + 6y2) / (3x + 6y)∴ w = x + 1
What is the factored form of 6y square plus 11y-2?
6y2 + 11y - 2 = (6y - 1) (y + 2)
How do you solve 6y2-36 equals 6y?
6y2 - 36 = 6ySubtract 6y from each side:6y2 - 6y - 36 = 0Divide each side by 6:y2 - y - 6 = 0Factor the expression on the left side:(y + 2) (y - 3) = 0The equation is a true statement if either factor is = 0.y + 2 = 0 ==> y = -2y - 3 = 0 ==> y = 3
3x plus 2y multiplied by 5x-3y equals?
(3x+2y)*(5x-3y) =3x*5x + 3x*(-3y) + 2y*5x + 2y*(-3y) [This is sometimes called the FOIL method - You multiply the First members of each bracket, then the Outers, Inners, Lasts] = 15x2 - 9xy + 10xy - 6y2 = 15x2 + xy - 6y2
What is 6y2 - 5y - 2?
It is a quadratic expression in the variable x.
