System Of Equations Review / Project

(Which System Of Equation Would You Solve For) 7y - 3z = -4 4y + 3z = 26

(Elimination) The answer would be 2,6 1 7y - 3z = -4 3z = 26 - 4y, Substitute the value of 3z into the equation 2 7y - (26 - 4y) = -4, Solve the equation 3 Y = 2, Substitute the value of Y into the equation 4 3z = 26 - 4 x 2, Solve the equation Z = 6, A possible solution

(Solve Using The Graphing Method) X + Y = 10 X - Y = 2

1 X+Y = 10 X = 2 + Y, Substitute the value of x into the equation 2 2 + Y + Y = 10, Solve the equation 3 Y = 4, Substitute the value of Y into the equation 4 X = 2 + , Solve the equation 5 X = 6, A possible solution

(Solve Using Substitution) Y = 3x - 10 3x + 2y = 16 Would the solution be (2,9)?

No, 1. Y = 3x - 10 3x + 2y = 16, Substitute the value of x into the equation 2. 3x + 2 (3x - 10) = 16, Solve the equation 3. X = 4, Substitute the value of X into the equation 4. Y = 3 x 4 - 10, Solve the equation 5 Y = 2, A possible solution 6 (X,Y) = (4,2), check the solution 7 2 = 3 x 4 - 10 3 x 4 + 2 x 2 = 16, Simplify 8. 2=2 16=16 (4,2)

(Solve Using Substitution) Y = 4x + 1 2y - 5x + 8 Would the Solution be (2,9)?

No, 1. Y = 4x + 1, Substitute X = 0 2. Y = 4 x 0 = + 1, Solve the equation 3. Y = 1

Y≤ -2x + 2; (1,2) Is (1,2) a solution of the given equality?

No, The answer would be 2,6 1 7y - 3z = -4 3z = 26 - 4y, Substitute the value of 3z into the equation 2 7y - (26-4y) = -4, Solve the equation 3 y = 2, substitute the value of y into the equation 4 3z = 26 - 4x2, Solve the equation 5 Z = 6, A possible solution

(Solve Using Elimination) 3x - 4y = -5 -10x + 4y = 12 --------------------

X = -1 Y = 1/2 1 3x - 4y = -5 4y = 12 + 10x, Substitute the value of 4y into the equation 2 3x - (12 + 10x) = -5, Solve the equation 3 X = -1, Substitute the value of x into the equation 4 4y = 12 + 10 x (-1), Solve the equation 5 Y = 1/2

(Solve Using Elimination) 3x - y = 12 What would your X and Y be?

X = 5 Y = 3 3x - y = 12, Move variable to the left 3(5) - 3 = 12, Eliminate opposites 15 - 3 = 12, Solve 12 = 12

(Solve Using Elimination) 2x + 3y = 20 -2x + y = 4

Y = 6 1 2x = 20 - 3y 2x + y = 4, Solve the Equation 2 2x = 20 - 3y 2x + y = 4, Substitute the value of 2x into the equation 3 -(20 - 3y) + y = 4, Solve the equation 4 Y = 6, Substitute the value of y into the equation, 5 . -2x + 6=4, Solve the equation 6 X = 1, A possible solution (1,6)

(Solve Using Elimination) -2x + y = 4 -2x + 6 = 4

Y = 6 X = 1 1 -2x + y = 4 -2x + 6 = 4, Solve the equation 2 -2x + y = 4 X = 1, Substitute the value of x into the equation 3 -2 x 1 + y = 4, Solve the equation 4 Y = 6, A possible solution 5 (X,Y) = (1,6)

Y = X + 7 Y = 6x + 2 is (1,8) a solution to this system of equations?

Yes, 1. X + 7 = 6x + 2, Solve The equation 2. X = 1, Substitute the value of x into the equation 3. Y = 6 x 1 + 2, Solve the equation 4. Y = 8, a possible solution, 5. (x , y) = (1 , 8), Check the solution 6. 8 = 1 + 7 8 = 6 x 1 + 2, Simplify 7. 8=8 (X,Y) = (1,8) 8=8