Question

Part 1: Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. (3 points)

Part 2: Provide the solution to the system. (2 points)

Part 3: Explain what the solution represents on the graph. (1 point)

3x + 6y = 18
2x + 5y = 20

can someone walk me through this

Answer 1

find the intercepts

3x + 6y = 18



find the intercepts y- intercept x = 0 so 6y = 18 or y = 3
x-intercept y = 0 so 3x = 18 or x = 6

plot the points (6, 0) and (0, 3)

draw a line through the points

same process for the 2nd line, find the intercepts

2x + 5y = 20

y-intercept x = 0 5y = 20 or y = 4
x-intercept y =0 2x = 20 or x = 10

plot the points ( 10, 0) and (0, 4) draw a line through the points

the point of intersection is the solution for the simultaneous equations.