Uji Pemahaman Sistem Persamaan Linear

Selesaikan sistem persamaan berikut: 2x + 3y = 6 dan x - y = 1.

• x = 2, y = 0

• x = 9/5, y = 4/5

• x = 3, y = 1

• x = 1, y = 1

Gunakan metode substitusi untuk menyelesaikan: 3x + 4y = 12 dan 2x - y = 3.

• (x, y) = (3, 0)

• (x, y) = (0, 3)

• (x, y) = (1, 2)

• (x, y) = (24/11, 15/11)

Selesaikan dengan metode eliminasi: 5x + 2y = 20 dan 3x + 4y = 18.

• x = 3, y = 4

• x = 5, y = 2

• x = 1, y = 10

• x = 22/7, y = 15/7

Gambarkan grafik dari sistem persamaan: y = 2x + 1 dan y = -x + 4.

• The graph of the system of equations shows two lines intersecting at the point (1, 3).

• The graph represents a single line with no intersections.

• The lines intersect at the point (0, 1).

• The graph shows two parallel lines that never intersect.

Tentukan solusi dari sistem persamaan: x + 2y = 8 dan 3x - y = 5.

• x = 1, y = 4

• x = 4, y = 2

• x = 2, y = 3

• x = 18/7, y = 19/7

Gunakan metode substitusi untuk menyelesaikan: 4x - 2y = 10 dan x + y = 7.

• x = 4, y = 3

• x = 5, y = 2

• x = 2, y = 5

• x = 3, y = 4

Selesaikan dengan metode eliminasi: 6x + 3y = 15 dan 2x - y = 1.

• (3, 0)

• (0, 5)

• (1, 3)

• (2, 1)

Gambarkan grafik dari persamaan: y = 3x - 2 dan y = -2x + 5.

• The graph consists of two lines: one with a positive slope (y = 3x - 2) and one with a negative slope (y = -2x + 5), intersecting at the point (1, 1).

• The graph consists of two lines with both having positive slopes.

• The graph represents a quadratic equation.

• The lines intersect at the point (0, 3).

Selesaikan sistem persamaan: 7x + y = 14 dan 2x + 3y = 12.

• (2, 4)

• (1, 7)

• (30/19, 266/19)

• (5, 3)

Gunakan metode eliminasi untuk menyelesaikan: 4x + 5y = 20 dan 3x - 2y = 4.

• x = 5, y = 0

• x = 1, y = 3

• x = 2, y = 4

• x = 60/23, y = 8/23