Solve: -2x+3y=8 2x+y=16 Student Work: -2x+3y=8 (2x+y=16) Ox+2y=-8 2y=-8 2 2 ソ=-4 2x+(-4)=16 +4 +4 2x 20 2 2 x=10 (10,-4) What mistake did this student make? O The 2nd equation should have been added to the 1st equation, not subtracted O The 2nd equation should have been multiplied by 3 O The 1st equation should have been multiplied by 2 O Neither equation is in standard form

Q: Q58- By using Frobenias mothecl Solve ovE 6x°(I -x)Y+ 12x² C1+x}ý -C21-x')y=o

A: Given: 6x3(1-x)y''[x]+12x2(1+x)3y'[x]-(21-x2)y[x]=0 To find: Frobenius method

Q: Solve 4y'' + y' – 3y = 0, y(0) = - 4, - 4, y'(0) = 0.5 y(t) =

A: The given differential equation is second order linear homogeneous differential equatio. So firstly…

Q: solve 2y/y-4 - 2y-5/ y2-10y+24= -4/ y-6

A: Given 2yy-4-2y-5y2-10y+24=-4y-6

Q: Find the general solution of the equation x* (4 + 3z?) z, + y* (4 +3z²)z, = (x' + y')(4+ z³) z.

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Q: Solve  both  a. yk+2 - yk+1 - 2yk = k2  b. yk+2 - 5yk+1 + 6yk= 5k

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Q: Q3-Solve the equation by determination method: 2x-4y 6 .. (1) x +y +z=1 ..* (2) 5y +7z -10 (3)

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Q: y

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Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2* , yo=y1=0.

A: According to question, Given equation, yk+2 -4 yk+1 + 4yk = sin k + 2k,y0 = y1 = 0

Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

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Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: Q9: solve x + 2z = 6 -3x + 4y + 6z = 30 -x - y + 3z = 8

A:

Q: how can i solve this equation? y" – 64y = 16, y(0) = 1, y'(0) = 0

A:

Q: Solve the equations X-3y + 4z 5 2x + y +z 3 4x +3y +5z = 1 Edit

A: x-3y+4z=52x+y+z=34x+3y+5z=1we solve this problem by using crammers ruleHere D=1-34211435…

Q: Jose is 5 less than three times his brother's age. The sum of their ages is 51. Let Jose's age be…

A: Given,     Jose's is 5 less than three times his brothers age.     The sum of their ages is 51.

Q: Solve the IVP. y'-7y(6-y), (0) = 5 y

A: Given differential equation is: y' = 7y(6 - y) dy/dx = 7y(6 - y) dy/[y(6 - y)] = 7dx (1/6) . [y + (6…

Q: solve by a method of either addition or substitution  a. {3x-y=4      2x+y=1 b. {2x-7y=2…

A: We have to solve the system of equations using the method of substitution.

Q: Solve by eliminating variables: = -22 2r + 4y - 3z = 29 3x - 2y + 5z = -17. x - 6y

A: We can find the solution of a system of equation  by using elimination method . We can use addition…

Q: Solve (? 2 – 4D + 4)y = e5x + x3 + x

A: Given Differential equation  D2-4D+4y=e5x+x3+x The objective is to solve the above differential…

Q: -2z2 -y/2x-y2 if x=4, y= -2, and z= -5   I tried solving but I'm having no luck getting the correct…

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Q: Solve for the solution for the equation: (2x²y – 2x³) + (4x³ – 6x²y + 2xy²)y' = 0 with the condition…

A: General solution: The general solution of a differential equation is a solution in which the number…

Q: Solve 1- y"- 6y' + 9y 4e Ans. y Ce +c,xex+2x2er

A: Note: Since you have posted multiple independent questions, we will be solving only the first one…

Q: Given 2x-y=6, solve for y. A) y=2x+6 B) y=2x-6 C) y=-2×+6 D) y=-2x-6

A: Given: 2x-y=6       To determine: y

Q: Solve by substitution  4x+7y=-59

A: Given equations: 4x+7y=-59.......(1) 3x+y=-23..........(2) From the equation 1, 4x=-59-7y…

Q: -2v+2/3=-3/4v-3/4

A: Simplifying the equation using multiplication and division,

Q: 3x+2y-8z=-3 -x-3y+15z=8 6x-3y+15z=8 Solve equations either by elimination or substitution

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Q: 3. Solve y" – 2y' + 5y = 0, y(0) = 5, y'(0) = -3.

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Q: Solve the equation [2] = +s LOJ +t (0) -8x + 3y - 7z = 4.

A: The Given equation is  -8x+3y-7z=4           ......(1)

Q: Solve for x. 14) s - x-6 2r- 19 13 2r-18 13) M 23 4x-29

A: Simplification

Q: Solve for the value of v. (2v-4)° (4v-2)°

A: If any line is intersecting at another line then that will divide the 180° angle into two parts at…

Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

Q: Solve. 3. x-6x 0 0,6 b. 0,-6 a. C. -6, 6 d. 1, 6

A:

Q: Two balls are thrown simultaneously from the same initial height. For the first ball, the height of…

A: The double derivative test is done to locate the maxima and minima for a function.  The following…

Q: Solve for the value of z Y=9+3z Y=49-5z

A: Given ,y=9+3zy=49-5z

Q: y-3 - 2y-7/ y2-9y+18 = -6/y-6

A:

Q: Solve: a) a2 – 3x – 40 = 0 b) 120a2 – 240a – 200 160 c) 3a2 – 4x = -1 d) 5(2a – 3)(32 - 4)(5x- 2) =…

A: a)  x2-3x-40=0      x2-8x+5x-40=0xx-8+5x-8=0x+5x-8=0x=-5, 8   b)  120x2-240x-200=160…

Q: Solve for y -5y+15=-7(y -5)

A: Given the equation

Q: In the equation 2sin2x + 3sinx + 1 = 0 where 0° < x <360° there are 3 solutions... The sum of those…

A: Given equation is:…

Q: Solve: (x+ 2z)p + (4xz - y)q = x² +y

A:

Q: -3y+1(-8y+6)=-9-6(8-y)   Solve equation

A:

Q: a. Solve: 5t -4= 0, t = b. Solve: 5t- 4 = 6, t = c. Add: (5t - 4) + (6t + 14)

A: We are solving the first three subparts and for the next subparts post the question again and…

Q: Solve. 2x2 - 7x - 15 = 0 3. O A. z = a = -5 2 %3D 3 O B. æ = I = 5 2' C. x = I = 5 2' O D. x = -- r…

A: Given: 2x2-7x-15=0 To find: The value of x

Q: Solve the equations by substitution method 2x-4y+5z=-33 4x-y=-5 -2x+2y-3z=19

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Q: Solve: - 48t + 44 – 8, y'(0) = 23 y" - y' – 12y y(0) = - 8, y(t) =

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Q: Solve by the method of undetermined coefficients.   y′′−y′−6y=50cosx

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Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2*, yo= y1=0.

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Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

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Q: Find root of the equations and verified your solution x2002 + 4x2001 (а): 2449.25 4x2000 х — 5 + х+2…

A: (a) Given equation is                                        x2002+4x20014x2000=2449.25 Now…

Q: 2y = 2x + 2 4x + y = 6

A: We can make it easier for you.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.