Understanding Simultaneous Equations Using Graphs

What is the primary goal when solving simultaneous equations graphically?

• To find the slope of each line

• To calculate the area between the lines

• To determine the y-intercept of each line

• To find the point where the lines intersect

In the example provided, what are the coordinates of the intersection point for the equations 3y + 2x = 12 and y = x - 1?

• (3, 2)

• (1, 4)

• (4, 1)

• (2, 3)

What is the solution to the simultaneous equations y = 3x - 2 and y = 2x + 1?

• (4, 9)

• (3, 7)

• (1, 3)

• (2, 5)

When both lines are already drawn, what is the main task to solve the simultaneous equations?

• Calculate the slope of each line

• Find the point of intersection

• Determine the y-intercept

• Measure the distance between the lines

In the final example, what are the coordinates of the intersection point when both lines are pre-drawn?

• (4, 5)

• (2, 3)

• (3, 2)

• (1, 6)