Systems of Equations

Solve. -7x - 2y = -13 x = 2y + 11

Plug in your value for X this time. -7(2y + 11) -2y = -13 Notice the new equations always have the same variable -14y - 77 - 2y = -13 -16y - 77 = -13 -16y = -64 y = 4 Now, plug in the y value and find x x - 2(4) = 11 x - 8 = 11 x = 19 Point of Intersection: (19, 4)

Solve. -3x - 3y = 3 y = -5x -17

Point of Intersection: (-4, 3)

Solve. y = -3x + 5 5x - 4y = -3

Point of Intersection: (1, 2)

Solve. y = 6x - 11 -2x - 3y = -7

Point of Intersection: (2, 1)

Solve. 2x - 3y = -1 y = x - 1

Point of Intersection: (4, 3)

Point of Intersection: (-3, -6)

Solve. y = 4x + 6 -5x - y = 21

Point of Intersection: (3, -2)

Solve. y = -2 4x - 3y = 18

Point of Intersection: (0, -2)

Solve. y = 5x - 2 -1x + 2y = -6

Point of Intersection: (2, 3)

Solve. y = 5x - 7 -3x - 2y = -12

Solve. y = 2x + 6 x + y = 18

x + (2x +6) = 18 3x + 6 = 18 3x = 12 x = 4 Plug in x: y = 2(4) + 6 y = 14 Point of Intersection: (4, 14)

Solve. 2y = 2x + 6 x = 4y

x is already solved 2y = 2(4y) + 6 2y = 8y + 6 -6y = 6 y = -1 Plug the y-value in to the x solved equation x = 4(-1) x = -4 Point of Intersection: (-4, -1)

Solve. 2x - 3y = -1 y = x - 1

y is already solved 2x - 3(x - 1) = -1 Be careful with distribution 2x - 3x + 3 = -1 Combine Like Terms -1x + 3 = -1 -1x = -4 x = 4 Now, plug in the x value to find y (using the solved y equation is easiest) y = 4 - 1 y = 3 Point of Intersection: (4, 3)