Best Answer

I assume you mean this system.

Y - 4X = 10

Y = 2X - 6

You are given Y, so insert into top equation to find X.

(2X - 6) - 4X = 10

- 2X - 6 = 10

-2X = 16

X = - 8

===========find Y, bottom equation

Y = 2(- 8) - 6

Y = - 16 - 6

Y = - 22

============ You try checking it.

Q: What is the solutions for the equations y-4x 10 y2x-6?

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They are simultaneous equations and their solutions are x = 41 and y = -58

I'm not 100% certain about what you're asking, but each function and relation can have different solutions, either one of the three ways. (Always dealing with two equations) This is based off my Grade 10 Knowledge One (Intersecting at one specific point) None (Parallel Lines) Coincident two lines with the same slope and intercept) Refer back to : " y=mx+b " equation if needed. If you are talking about the possible ways to find the solution (x,y), there are also three. Elimination, (Removing one variable to solve the equation) Substitution, (Knowing what x or y, and inputting in the second equation) Graphing, (By drawing both equations, This method is not very accurate)

1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)

Precisely because of the inequality! Take the simplest case, of an equation or inequality that is already solved. For the equation, for example, take: x = 10 The equality means that x has to be 10, it can't be anything else. On the other hand, a similar inequality: x > 10 means that ANY number greater than 10 will do. For the sake of completeness, please note that more complicated equations can actually have more than one solution, too. For example: x2 = 25 has the solutions 5 and -5, while sin x = 0 has infinitely many solutions, since the sine function is periodic.

Rearrange the second equation as x = 10+y and then substitute it into the first equation which will create a quadratic equation in the form of: 2y2+30y+100 = 0 and when solved y = -10 or y = -5 Therefore the solutions are: x = 0, y = -10 and x = 5, y = -5

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10

They are simultaneous equations and their solutions are x = 41 and y = -58

I'm not 100% certain about what you're asking, but each function and relation can have different solutions, either one of the three ways. (Always dealing with two equations) This is based off my Grade 10 Knowledge One (Intersecting at one specific point) None (Parallel Lines) Coincident two lines with the same slope and intercept) Refer back to : " y=mx+b " equation if needed. If you are talking about the possible ways to find the solution (x,y), there are also three. Elimination, (Removing one variable to solve the equation) Substitution, (Knowing what x or y, and inputting in the second equation) Graphing, (By drawing both equations, This method is not very accurate)

Simultaneous equations: x/3 -y/4 = 0 and x/2 +3y/10 = 27/5 Multiply all terms in the 1st by 12 and in the 2nd equation by 10 So: 4x -3y = 0 and 5x +3y = 54 Add both equations together: 9x = 54 => x = 6 Solutions by substitution: x = 6 and y = 8

No because there are no equations there to choose from.

If you mean x+2y = -2 and 3x+4y = 6 then the solutions to the equations are x = 10 and y = -6

1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)

List 10 solutions that can be found at home

1 If: 2x+5y = 16 and -5x-2y = 2 2 Then: 2*(2x+5y =16) and 5*(-5x-2y = 2) is equvalent to the above equations 3 Thus: 4x+10y = 32 and -25x-10y = 10 4 Adding both equations: -21x = 42 or x = -2 5 Solutions by substitution: x = -2 and y = 4

Precisely because of the inequality! Take the simplest case, of an equation or inequality that is already solved. For the equation, for example, take: x = 10 The equality means that x has to be 10, it can't be anything else. On the other hand, a similar inequality: x > 10 means that ANY number greater than 10 will do. For the sake of completeness, please note that more complicated equations can actually have more than one solution, too. For example: x2 = 25 has the solutions 5 and -5, while sin x = 0 has infinitely many solutions, since the sine function is periodic.

One solution 2x+y =5 x+2y=4 multiply 1st eq by 2 rhen subtract: 4x+2y = 10 x + 2y = 4 3x = 6 x = 2 plug x into any of the above two equations and solve y = 1

Since there are no equations following, the answer must be "none of them".