Solve the system of equations by graphing on a sheet of paper, and then state the solution.

Question

Explain how you solved. Thank You!!!!!
y=2x-1
6x-y=13

Answer 1

Write the equations in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

The first equation is y = 2x - 1.

it is already in slope-intercept form y = mx + b.

Compare the equation with slope-intercept form y = mx + b.

slope = 2 and y-intercept is - 1.

y-intercept is - 1, so the line crosses the y-axis at (0, - 1)

Using slope find the next point.

Slope = rise/run = 2/1

Start at point (0, - 1), move 2 units up and 1 unit right, then plot the point (1, 1).

The second equation is 6x - y = 13.

Subtract 6x from each side.

6x - y - 6x= 13 - 6x

Group like terms.

- y = 13 - 6x

Divide each side by negative 1.

y = - 13 + 6x

y = 6x - 13.

Compare the equation with slope-intercept form y = mx + b.

slope = 6 and y-intercept is - 13.

y-intercept is - 13, so the line crosses the y-axis at (0, - 13)

Using slope find the next point.

Slope = rise/run = 6/1

Start at point (0, - 13), move 6 units up and 1 unit right, then plot the point (1, -7).

Draw the lines through these points.

Graph :

Observe the graph, the solution of the system (x, y) = (3, 5).