In the default problem that you are given when the page is opened, the two linear equations are.
−2 x − 4 y = −12 and −4 x + 2 y = −4
Step 1)
You are to choose one of the equations, and solve for one of the variables. I chose to solve the first equation, −2 x − 4 y = −12 for the x-variable. −2 x − 4 y + 4 y = +4 y − 12
add 4y to both sides of the equation.
divide both sides of the equation by –2 simplify
− 2 x 4 y − 12 = −2 −2 x = −2 y + 6
Enter this new equation (exactly), x = −2 y + 6 into the form and press enter. You should get a message telling you that you are correct. You will also see a text copy of your equation in the middle of the screen. Left-click and drag this equation under the equation that you solve. (Consider this a way of "taking notes").
Step 2) Substitute the value found in Step 1 into the other equation. Then enter this value into the form, and press "Enter". From Step 1: x = −2 y + 6 −4 x + 2 y = −4 Second equation Make the substitution Solve for the variable (in this case, y)
−4 ( −2 y + 6 ) + 2 y = −4
y=2
Enter this equation y = 2 into the form and press Enter. You should get a confirmation and see a green, horizontal, dashed, line at y = 2 .
Step 3) Finally, substitute the value for the found variable in Step 2, into the equation found in Step 1 and solve for the second variable. From Step 1) From Step 2) x = −2 y + 6 y=2
x = −2 ( 2 ) + 6
x=2
Make the substitution
Solve for the variable (in this case, x)
Enter this equation x = 2 into the form and press Enter. You should get a confirmation and see a green, horizontal, dashed, line at x = 2 . You have found the point of intersection of these to linear equations, thus "solving the system".
Now, click on the "New Problem" button and try several on your own.
Good Luck and Have Fun.