Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x + 2y -2 b) 3x + 2y 8 X-y 1 c) 3x+ 4y 5 4x + y= -2

Q: Which point satisfies each of the following ine qualities? *+4y>-4 2x-y A. C0,-1) B. (31) C (0,4) D.…

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Q: Find the number of non negative solutions to x+y+z= 21. With the conditions that x < 3, y ≥ 2, z ≥…

A: Given that x+y+z=21 with the conditions x&lt;3, y≥2, z≥4

Q: In the general form Ax + By + C = 0, can I immediately determine that theslope is A and the…

A: We will write the given equation in the slope-intercept form.

Q: Show that the equation x+y+z=4 ,2x+5y-2z=3,x+7y-7z=5 are not consistent

A: A square system of equations represented by, AX=B is considered inconsistent if the inverse of the…

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: Solve the given DE: 2ydx=3xdy, when x-2, y=1. O y=(x/2)^(2/3) O y=(x/2)^(1/3) O y=(x/3)^(2/3) O…

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Q: Solve the IVP: y" + 4y' = x, y" (0) = 1, y'(0) = y(0) = 0. %3|

A: The solution is given as

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: Show that the equations xp- 4yq=0 and (32 +2z +1)(p+q)=x'(x+4y) compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: In the following diagram, A || B. 21 3x+7 2 23 B 24 26 25 4x+5 5y-29 27 28 Зу+19 1. Use complete…

A: Given problem:-

Q: Solve for x 16. 2x 5_ 5x - -= 17. z = x-u 3 6 19 & 20 Graph the Solutions 19. 2х — 1 <8-х 20. 4 – 2x…

A: 16. The given algebraic equation is, Now perform the following algebraic operations to solve for…

Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then,…

Q: 3x + y = 18 (by elimination X - 5y = -10 %3D

A: Post other problem ,  This problem solve my elimination of one variable,

Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

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Q: Determine the equation of the perpendicular bisector of KL if it's endpoints are at K O-7,5) and…

A: Given:    Points : K ( 7 , 5 )    ,   L ( 9 , 1 )

Q: The cost y (in $) to rent a 5-ft by 5-ft storage space for x months is given for two companies,…

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Q: Which equations below are parallel to the line 6x - 9y = 36 a. 2x = 3y b. 2у 3D 3х +24 2x + 3y = 0…

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Q: 7. How many points of intersection exist between y= x' +4x2- 2x - 5 and y = 3? %3D None B. One Two…

A: To find the number of intersection of the given curves  y = x3 + 4x2 - 2x -5  and y = 3

Q: Solve for x: xy2 + yz2 - 4 = 2x - 1. 3-yz2 b) х %3D у2-2 a) x = *y^tyz2-3 2 с) х %3D 3 — yz2 -у? +2…

A: Consider the given expression.

Q: 5) To find B from Mathematical equation Y = V5X + 3X +1 %3D N=Y-4Z+C? B =N X+ Y

A: Given:  Y=5X+3X+1N=Y-4Z+C2B=NX+Y To determine: The value of B from Mathematical equation.

Q: The ordered pair that satisfies the following simultaneous equations is 2х + Зу %3D 1, . 10. 3x - y…

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Q: x' = -3x + 2y, y' = -3x + 4y; x (0) = 0, y(0) = 2 %3D %3D

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Q: If yo is the solution of the equations xy' + 3y = x, y(1) = 2, %3D determine the value of yo(2).

A: Given a first-order differential equation,                             .....(1) condition  y(1)=2

Q: 1 For Exercise, use A = and solve for X. and B = -2 зв - А %3D - 2X

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Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis `y-x -5)²+3…

A: To find the correct option

Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

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Q: Solve the Coout's 2n, toX t X3 = -3n, +4%2 -2nz lineas method. uquation by ニー3 %3D 6. 1)

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Q: both

A: Put value of either x or y from equation 1 and put in equation 2 or value of either x and y from…

Q: 1. (1-х)у' %3D у?

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Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

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Q: Solve for the domain and range of. f(x.y,z) = 4-x2-y?

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Q: Which equation represents the perpendicular bisector of AB whose endpoints are A(3,6) and B(- 5,2)?…

A: NOTE: Refresh your page if you can't see any equations. . given points are the slope of the line…

Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

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Q: Solve for the orthogonal traectories y = x2- cX

A: The orthogonal trajectory is a curve that intersects each of the family's curves at a right angle.…

Q: 10. Solve for x and y: 3x - 5y = 13 -2х - Зу %3D 4

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Q: What are the foci points for the equation 36x2 + 25y² – 144x – 50y – 731 = 0?

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Q: Use the ADDTION METHOD to solve for y: 2х - у %3D 10 3x + 2y = 8 y = 4 y = -2 y = -4 O y = 2

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Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

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Q: A rhombus has sides of length x + 6 inches and a perimeter of 49 inches. Which equation represents…

A: we know that in rhombus all sides of it is equal so, perimeterp of rhombus will be sum of sides…

Q: x + 13y + 7z = 4, and 2x + 26y + 7z = 8. Parallel Perpendicular Neither

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

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Q: Solve: (3- 2ry+3y")dr = 4rydy ㅇ (y + 3x)"(y-띠) = Cz3 %3D O (y + 3x)(y – 1)3 = Cr %3D ㅇ (y-3z)"(y +…

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Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: What would the x,y,z intercepts be of 1/16 x2 - 1/49y2 + z = 1

A: We have to find the x,y, and z intercepts of x216-y249+z=1.

Q: 4. Solve and write your solution as a parameter. x – 2y + z = 3 2x-5y +6z = 7 (2x-3y-2z = 5 -

A: The addition or subtraction method of the system of equations is a method to eliminate one variable…