To find two numbers that add to 3 and multiply to 18, we can set up a system of equations. Let's call the two numbers x and y. We have the equations x + y = 3 and x * y = 18. By solving this system, we can find that the numbers are 1.5 and 12.
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x=3
x = y = 3
To find two numbers that add to 25 and multiply to -54, we can set up a system of equations. Let the numbers be x and y. We have the following equations: x + y = 25 and x * y = -54. By solving these equations simultaneously, we can find the two numbers. The numbers are 9 and -6, as 9 + (-6) = 3 and 9 * (-6) = -54.
y = x - 1 y - x = 3 y = x - 1 y = x + 3 Since both equations represent straight lines that have equal slopes, 1, then the lines are parallel to each other. That is that the lines do not intersect, and the system of the equations does not have a solution.
x + y = 18 x - y = -4
To find two numbers that add to 3 and multiply to 18, we can set up a system of equations. Let's call the two numbers x and y. We have the equations x + y = 3 and x * y = 18. By solving this system, we can find that the numbers are 1.5 and 12.
Answer by Hilmarz for a very similar question: When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations. Pricen2: given that there is no second equation with which to solve the original equation the values of x and y could be any of great number of values. If you knew the value of x then you would use y=3-x to find the value of y If you knew the vlaue of y then you would use x=3-y to find the value of x
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If you are trying to find x and y, the answers are x=3 and y=2. You can use elimination to find the answer. First you cross out the y and -y in the equations and then add the x's and numbers, which will give you 3x=9. You can then solve for x and you will get x=3. To find y, you put 3 into either of the equations for x and solve for y.
x = 1 and y = 2
If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!
x=3
3x-y = 11 x+y = 5 Add both equations together: 4x = 16 Divide both sides by 4 to find the value of x: x = 4 Substitute the value of x into the original equations to find the value of y: Therefore: x = 4 and y = 1
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.