Exploring Simultaneous Linear Equations

Solve the following system of equations: 2x + 3y = 12 and x - y = 1.

• (3, 2)

• (4, 0)

• (2, 3)

• (1, 3)

Graph the equations y = 2x + 1 and y = -x + 4 on the same coordinate plane.

• Graph the equation y = 3x + 2

• Plot the points (1, 3) and (2, 5)

• Draw the line y = x - 1 on a separate graph

• Graph the lines for y = 2x + 1 and y = -x + 4 on the same coordinate plane.

Create a table of values for the equation y = 3x - 2 for x = -2, -1, 0, 1, 2.

• x: -2, -1, 0, 1, 2; y: -6, -3, 0, 3, 6

• x: -2, -1, 0, 1, 2; y: -10, -7, -4, -1, 2

• x: -2, -1, 0, 1, 2; y: -8, -5, -2, 1, 4

• x: -2, -1, 0, 1, 2; y: -4, -1, 2, 5, 8

Determine the point of intersection for the equations 4x + y = 10 and 2x - y = 2.

• (3, 4)

• (0, 10)

• (1, 6)

• (2, 2)

If 3x + 2y = 6 and 5x - y = 4, find the values of x and y.

• x = 2, y = 1

• x = 14/13, y = 18/13

• x = 1, y = 2

• x = 0, y = 3

Plot the linear equation y = -2x + 3 and identify its slope and y-intercept.

• Slope: 0, Y-intercept: 3

• Slope: 2, Y-intercept: -3

• Slope: -2, Y-intercept: 3

• Slope: -1, Y-intercept: 2

Create a table of values for the equation y = 1/2x + 2 for x = 0, 2, 4, 6, 8.

• [{"x": 0, "y": 2}, {"x": 2, "y": 3}, {"x": 4, "y": 4}, {"x": 6, "y": 5}, {"x": 8, "y": 6}]

• [{"x": 0, "y": 1}, {"x": 2, "y": 2}, {"x": 4, "y": 3}, {"x": 6, "y": 4}, {"x": 8, "y": 5}]

• [{"x": 0, "y": 5}, {"x": 2, "y": 6}, {"x": 4, "y": 7}, {"x": 6, "y": 8}, {"x": 8, "y": 9}]

• [{"x": 0, "y": 0}, {"x": 2, "y": 1}, {"x": 4, "y": 2}, {"x": 6, "y": 3}, {"x": 8, "y": 4}]

Solve the system of equations: 5x + 3y = 15 and 2x - y = 4.

• (0, 5)

• (5, 0)

• (27/11, 10/11)

• (3, 0)

Graph the equations y = x + 2 and y = -3x + 1. What is their point of intersection?

• (0, 2)

• (-1/4, 7/4)

• (1, 3)

• (-2, 0)

If x + 2y = 8 and 3x + y = 10, find the solution for x and y.

• x = 12/5, y = 14/5

• x = 2, y = 3

• x = 0, y = 4

• x = 4, y = 2