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The basic idea here is to look at both equations and solve for either x or y in one of the equations. Then plug the known value into the second equation and solve for the other variable.
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The equations of two lines are 6x-y equals 4 and y equals 4x plus 2. What is the value of x in the solution for this system of equations?
x=3
What is the solution of the following system of equations 3y - 2x equals 3 y equals x?
x = y = 3
Use the substitution method to solve the system of equations Enter your answer as an ordered pair 3x plus y equals 10 y equals x - 2?
3x+y = 10 y = x-2 Substitute the value of y into the top equation: 3x+x-2 = 10 => 4x = 10+2 => 4x = 12 => x = 3 Substitute the value of x into the original equations to find the value of y: So: x = 3 and y = 1
How do you solve -3x plus y equals 7 and x-y equals -3 by elimination?
-3x+y = 7 x-y = -3 Add both equations together to eliminate y: -2x = 4 Divide both sides by -2 to find the value of x: x = -2 Substitute the value of x into the original equations to find the value of y: Therefore: x = -2 and y = 1
How do you solve this problem x plus y equals 72 x minus y equals 22?
x + y = 72 x - y = 22 Add both equations:- 2x = 94 Divide both sides by 2:- x = 47 Substitute the value of x into the equations to find the value of y:- Therefore: x = 47 and y = 25
Yx-1 y-x 3 find the solution for the system?
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.
What is a system of equations that has the answer 7 11?
x + y = 18 x - y = -4
Solve this system of equations using the addition methodx plus y equals 3?
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
X plus y equals 5 and 2x-y equals 4?
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.
The solution to the system of equations y equals 2x and y equals -x plus 3 is?
x = 1 and y = 2
How do you find the point that two equations intersect?
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!
The equations of two lines are 6x-y equals 4 and y equals 4x plus 2. What is the value of x in the solution for this system of equations?
x=3
Solve the simultanius equations 3x - y equals 11 and x plus y equals 5?
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
What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?
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.
How is a system of 2 linear equations have no solution?
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.
What is the solution of the following system of equations 3y - 2x equals 3 y equals x?
x = y = 3
What is the sum of two numbers is 18 their difference is 2 what are the two numbers?
Let's call the two numbers x and y. We know that x + y = 18 and x - y = 2. We can solve this system of equations by adding the two equations together to eliminate y, which gives us 2x = 20. Dividing both sides by 2, we find that x = 10. Substituting this value back into one of the equations, we can solve for y and find that y = 8. Therefore, the two numbers are 10 and 8.
