x - y = 52x + y = 7 (use the substitution method)y = x - 52x + y = 7 (substitute x - 5 for y into the second equation)2x + y = 72x + x - 5 = 73x = 12x = 4Thus x = 4 satisfies both the equations of the system.
x - y = 63y = x + 22you need to solve these equations simultaneously.first get all your x's and y's on the same side.x - y = 63y - x = 22if you add these two equations together, the x's will cancel as one is positive and the other negative.x - y + 3y - x = 22 + 62y = 28y = 14then substitute y is 14 into one of the original equations to find xx - 14 = 6x = 20
x-y = 120 x+y = 150 add equations: 2x = 270 x = 135 y = 15
X - Y = 10 X + Y = 4 -------------------+ ( add them ) 2X = 14 X = 7 ----------find Y in one of the equations; top looks good 7 - Y = 10 - Y = 3 Y = - 3 ---------------check both equations for consistency 7 - (- 3) = 10 7 + 3 = 10 10 = 10 ------------checks in top 7 + (- 3) = 4 7 - 3 = 4 4 = 4 ------------checks and is consistent (7, - 3) ( the answer )
It is called substitution. Solve one of the equations for a single variable and substitute it into the other. x+y=10 y=10-x 2x-y=-4 2x-(10-x)=-4 2x-10+x=-4 3x-10=-4 3x=6 x=2 x+y=10 (2)+y=10 y=8
In systems of equations, the graphing method is solving x and y by graphing out the two equations. x and y being the coordinates of the two line's intersection.
x - y = 52x + y = 7 (use the substitution method)y = x - 52x + y = 7 (substitute x - 5 for y into the second equation)2x + y = 72x + x - 5 = 73x = 12x = 4Thus x = 4 satisfies both the equations of the system.
x - y = 63y = x + 22you need to solve these equations simultaneously.first get all your x's and y's on the same side.x - y = 63y - x = 22if you add these two equations together, the x's will cancel as one is positive and the other negative.x - y + 3y - x = 22 + 62y = 28y = 14then substitute y is 14 into one of the original equations to find xx - 14 = 6x = 20
x-y = 120 x+y = 150 add equations: 2x = 270 x = 135 y = 15
X - Y = 10 X + Y = 4 -------------------+ ( add them ) 2X = 14 X = 7 ----------find Y in one of the equations; top looks good 7 - Y = 10 - Y = 3 Y = - 3 ---------------check both equations for consistency 7 - (- 3) = 10 7 + 3 = 10 10 = 10 ------------checks in top 7 + (- 3) = 4 7 - 3 = 4 4 = 4 ------------checks and is consistent (7, - 3) ( the answer )
It is called substitution. Solve one of the equations for a single variable and substitute it into the other. x+y=10 y=10-x 2x-y=-4 2x-(10-x)=-4 2x-10+x=-4 3x-10=-4 3x=6 x=2 x+y=10 (2)+y=10 y=8
x + y = 50 x - y = 16 --------------- (add the two equations to solve for x) 2x = 66 x = 33 then substitute x into one of the above equations to get y = 17
Simultaneous equations are where you have multiple equations, often coupled with multiple variables. An example would be x+y=2, x-y=2. To solve for x and y, both equations would have to be used simultaneously.
Without any equality signs the given terms can't be considered to be equations but if you mean x+y = 10 and x-y = 6 then the value of x is 8 and the value of y is 2 and both equations intersect at (8, 2) on the Cartesian plane.
x + y = 18 x - y = -4
-2
What is the solution set for the equations x-y=2 and -x+y=2