Solve the problem using a system of equations in two variables. Find two numbers whose sum is 25 and whose product is 150. The two numbers are (Use a comma to separate answers.)

Q: Solve the system using elimination. 3x + 4y = 2 2x + 2y = 4 %3D ([?], [ ])

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Q: Solve the system of linear equations in terms of a, where a = y. -2x+2y-z=1 2x-2y+z=1

A: We are given system of equations as

Q: The sum of two numbers is 61, and their difference is 15. Find the numbers.

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Q: 1) Solve the system of equations: y= 2x - 3 2x + 4y = 38

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Q: 2.) Solve the system using either elimination substitution. or (Зх — 4у %3D —12 (x - бу — —4 |

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Q: Solve the problem by writing and solving a suitable system of equations. 1) If 50 pounds of tomatoes…

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Q: solve this system of equations {-1x+1y =-4   -2x-1y =  -8 (x,y)=_____

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Q: When using substitution to solve this system of equations, what is the result of the first step?…

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Q: Solve this system of equations  {−1x−1y=3 {−2x+1y=−9  (x,y)=_____

A: We have to solve the system of equations - x - y = 3    ...... (1) - 2x + y = - 9   ...... (2) Add…

Q: Use substitution to solve the system of equations. 5x + y = -24 x+3y = -2 О x3-5, у 3-1 O x 5, y = 1…

A: 5x+y=-24 X+3y=-2

Q: How do I solve this system of equations using elimination or substitution method.   x-3y+120=0…

A: We solve it by substitution method. Finding the value of 'x' from first equation we put at the…

Q: Use substitution to solve the following system of equations. -10x+ 2y = 20 AND y = 3x + 2 %3D ([?],…

A: Methods to solve these equations are Elimination method substitution method Cross multiplication…

Q: Find the general solution of the system of equations X' - ( 205 ) x + ( 10 ) e²¹. est.

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Q: Is (1, 10) a solution to this system of equations? y = x + 9 X = 1 yes no

A: Given system of equations is   y=X+9......(1) X=1.........(2)

Q: Find the solution to the system of equations.

A: The given graph is as follows:

Q: Solve the system of equations below: X1 + 2x2 + x3 = 4 2.x1 + 5x2 + 3x3 = -3 x1+ 2x3 = 5

A: x1+2x2+x3=42x1+5x2+3x3=-3x1+2x3=5

Q: Use the method of substitution to solve the system.

A: The given system is: x-12+y+22=10   .....1x+y=1      ......2 To simplify this system, find the value…

Q: How do I solve each system by the substitution method? {x+3y=5 {4x+5y=13

A: Given system of equations are x + 3y = 5 and 4x +5y =13. Substitute x = 5– 3y in 4x +5y =13.

Q: Use substitution to solve the following system of equations. 12x – 3y = -30 AND x = 2y – 6 ([?]. […

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Q: 1. Solve the system of equations: x - y = -1 y = 2² + 1

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Q: Solve the system of equations x + y – z = 1, y+ z= 5, x – y = 0 . -

A: Use substitution method to solve for x,y,z

Q: I (3,8) a solution to this system of equations? 11 y = 7x +8 y = x +1 Answer: yes no

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Q: When using substitution to solve this system of equations, what is the result of the first step?…

A: givenx=6y+3.............(i)and x+2y=5..............(ii)

Q: Sy = 3z + 1 2z + y = 16

A: Substitution method: - The substitution technique may be a straightforward approach for solving…

Q: Solve the system of linear equations 1.2x + 2.411=6 4.84-1-6x = 2.4

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Q: x' = x+2y x(0)=1, y(0)=2 y' = 2x+ 4y

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Q: How do I solve the following system of equations

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Q: 1. Solve the system of equations in three variables. -x + 2y + 2z = 7 2х — у — 2z %3 -6

A: The given system of equation is -x+2y+2z=72x-y-2z=-63x-2y-4z=-9we will solve the system of equation…

Q: Solve the given system of equations using the method of your choice. -a? + 3x – y – 8 = 0 x + y + 4=…

A: by substituion method we can find the value of x and y

Q: Solve the system of equations: x - y - z = 0 2x + y + 3z = -1 4x + 2y – z = 12

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Q: Solve the system by substitution. If there is not a unique solution, state the reason. -6x-6y=-6…

A: Consider the given equations:

Q: 2) Solve the system of linear equations using elimination by addition or subtraction. Sy = = – 1 2x…

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Q: Given the system of linear equations, solve for x [5 2 10 12 21[X1] X2 = 20 19 3 [101 3 3 30 222

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Q: What is the solution to the system of the two equations?

A: Given data:   The first point in the graph is (x1, y1)=(0,4). The second point in the graph is (x2,…

Q: To solve for c, and c,, set up a system of equations. a 1 + C, -1 b c, + = a C1 - C2 = b Solve for…

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Q: Use substitution to solve the system of equations. 5x + y = -24 X+3y = -2 O x=-5, y = -1 O x-5, y =…

A: We have a system of linear equation as: 5x + y = -24 x + 3y = -2 We need to solve this system using…

Q: For Exercise, solve the system of equations. 2х — у + 5z %3D-2 + 47 = 0 x+ y = 2 – 7z х

A: From x+4z=0 we get x=-4z Plug it in the first equation

Q: For Exercise, solve the system of equations. 1 16 4 y = -x + 4

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Q: How to solve each system by either substitution or the elimination method? 6x+y=-8 9x+7y=-1

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Q: How do I solve a system of linear equations in two variables using substitution?

A: A system of linear equations in two variables is of the form             ax+by=mcx+dy=n

Q: For Exercise, solve the system of nonlinear equations. v – 2)? = -8(x – 1) 2х — у %3D —8

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Q: 20. Find the solution to the system of equations by substitution. x+y=6 3x-y = - 22

A: Answer (20) :  Given system of Eqn is - x+y = 6  ....(I)3x -y = -22 .... (II)From Eqn (I) - y = 6-x…

Q: Solve the system of linear equations. Зх+ 4у %3D 9 Зх — 4у %3D 3 ||

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Q: Example Solve the System of Equation by your methc Зх + у 3 11 6х + 3у 3D 24

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Q: 2.) Solve the system using either elimination or substitution. Зх — 9у 3 —9 (5х — 18у 3D —-24

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Q: Determine the number of solutions to the following system of two linear equations without performing…

A: We have to determine the number of solutions to the following system of two linear equations without…

Q: QUESTION #3

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Q: Solve the given system by the substitu { -2x+y = -2 x-3y 8 What is the solution set of the system?

A: The given system of equation is  -2x+y=-2        …1x-3y=8               …2

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.