Final answer:
To find the x and y intercepts, set y=0 to find the x intercept and set x=0 to find the y intercept.
Step-by-step explanation:
To find the x and y intercepts, we need to solve the given system of equations:
2x − 4y = 40
−x + 2y = −20
First, let's find the x intercept. To do this, we set y = 0 and solve for x. Substituting y = 0 into the first equation gives us 2x = 40, which simplifies to x = 20. Therefore, the x intercept is (20, 0).
Next, let's find the y intercept. To do this, we set x = 0 and solve for y. Substituting x = 0 into the second equation gives us −x + 2y = −20, which simplifies to 2y = −20 and y = −10. Therefore, the y intercept is (0, -10).