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Q: Solve the system of equations Enter your answer as an ordered pair 4x plus 8y equals 16 4x minus 8y equals 0?

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Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1

(0,7)

It works out that x = 6 and y = 3 or as (6, 3)

Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5

3x-8y=-1 -2x+6y=1

y=3x-4 y=-2x+1

3x+5y=48 5y=48-3x-3x+5y=12 -3x+(48-3x)=12-6x=-36x=65y=48-3(6)5y=30y=6(6,6)

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

2y + 2x = 20 y - 2x = 4 Add the two equations: 3y = 24 so that y = 8 Substitute this value of y in the second equation: 8 - 2x = 4 then 4 = 2x so that x = 2 Thus the ordered pair (y,x) = (8,2)

16

y = x - 7 x + y = 5 Substituting for y in the second equation, x + (x - 7) = 5 or 2x = 12 so that x = 6 Then, from the first equation, y = 6 - 7 = -1 So, (x, y) = (6, -1)

(-4,3)

Given: 2y = x + 2 x - 3y = -5 ∴ y = x/2 + 1 ∴ x - 3(x/2 + 1) = -5 ∴ x - 3x/2 - 1 = - 5 ∴ -x/2 = -4 ∴ x = 2 ∴ 2y = 2 + 2 ∴ y = 2 ∴ {x, y} = {2, 2}

Without any equality signs the given expression can't be considered to be equations.

Spreadsheet equations help you get work done more efficiently. If you enter a new set of data, the equations will automatically adjust to the data you just put in.

From Equation 1: x = 3y - 23Substitute for x in equation 2: 5(3y - 23) + 6y = 74ie 15y - 115 + 6y = 74ie 21y - 115 = 74Add 115 to each side: 21y = 189Divide each side by 21: y = 9x = 3y - 23 ie 27 - 23 ie 4x = 4, y = 9

(-4, -6)

4X + 7Y = 60 -4X + 7Y = - 4 -----------------------+ 14Y = 56 Y = 4 --------- insert back into one of these equations to find X 4X + 7(4) = 60 4X + 28 = 60 4X = 32 X = 8 ------------check 4(8) + 7(4) = 60 32 + 28 = 60 60 = 60 ----------------checks, now second equation -4(8) + 7(4) = -4 -32 + 28 = -4 -4 = -4 --------------checks solution set. X = 8 Y = 4 (8,4)

How to solve a system of linear equations 1. arrange all of them in standard form. standard form has all variables in the same order beginning with the lowest power variables on the left and ending with the highest power variables on the right. This will be equal to the number without a variable on the right side of the equation. If there are missing variables or numbers, put in a zero in it's place. 2. Using a TI-83: Press these keys: 2nd, matrix, >>, enter. Type how many rows your matrix has (if you have 3 equations, you need 3 rows). Press enter. Type how many columns your matrix has (if you have x^3, x^2, and x on one side of the equal sign, you need 3 columns). Press enter. Begin entering your data, ignoring the number on the right side of the equals sign. When finished, press 2nd, quit. 3. Press 2nd, matrix, >>, down, enter. Using the example from above with the 3 equations, you now need a 3x1 matrix. When finished entering data, press 2nd, quit. 4. Press 2nd, matrix. Hilight the 3x3 matrix you created, press enter. Press the x^-1 key. Press 2nd, matrix. Hilight the 3x1 matrix, press enter, enter. And wall-a, there you have your answers!! If you were to solve it by hand, just solve two of the equations for a different variable and plug the solved equations into the unsolved equation and solve. This way can get hairy, but it also works fine.

the lymph enter the blood vascular system through the circulatory system

2, -3 Where x = 2 and y = -3 6 (2) + 2 (-3) = 6 [12 + (-6) DOES = 6] 3 (2) - (-3) = 9 [6 + 3 DOES = 9]

16x - 2y = 74 (Eq 1) 2x - 2y = 4 (Eq 2) from Eq 2, 2y = 2x - 4 Substitute in Eq 1 16x - (2x - 4) =74 ie 16x - 2x + 4 = 74 ie 14x = 70 ie x = 5 2y = 2x - 4 = 10 - 4 = 6 y =3 Check 16 x 5 - 2 x 3 = 80 - 6 = 84 QED

Press Y= to see the equations. Enter and equation in, using x as the variable. (Press X,T,θ,n for an x.) Enter an equation and press GRAPH to see it. (If you need to graph parametric, polar, or sequential equations, press MODE and select the graph type you need. Select FUNC for normal y= equations.)