Remark If you try graphing this, you will get either 0, 1 or an infinite number. I always graph a question to get the answer first.
The graph is below.
So it looks like we are looking for 1 solution
Step One Convert the second equation to a slope intercept. -8x - 4y = - 20 Add 8x to both sides. -4y = 8x - 20 Divide by - 4 y = 8x/-4 - 20/-4 y= -2x + 5
Step Two equate the two equations right hand sides. -2x + 5 = 2x - 5 Add 2x to both sides. 5 = 2x + 2x - 5 combine like terms on the right. 5 = 4x - 5 Add 5 to both sides. 10 = 4x Divide by 4 x = 10/4 x = 2.5
Step 3 Solve for y y = 2x - 5 y = 2*2.5 - 5 y = 0
Solution (2.5, 0 )<<<<<< Answer If there are choices, please list them.
