Answer:
Step-by-step explanation:
y = -x + 2
2x - y = 7
I think you would benefit from graphing these equations yourself and then identifying the coordinates of their intersection. To help you get started out:
Line 1: Here the slope is -1 and the y-intercept is 2. Plot a dark dot at (0, 2). Now, starting with your pencil point on that dot, move 1 unit to the right and from this new location move 1 unit down. Plot another dark dot there. Now draw a line through these two dots.
Line 2: 2x - y = 7 when solved for y is y = 2x - 7, which has a slope of 2 and y-intercept of -7. Plot a dot at (0, -7). From that point, move 1 unit to the right and from this new location move 7 units down. Plot another dot there. Draw a line thru these two dots.
Identify the coordinates of the point of intersection of these two lines. For your reference I will find the solution using elimination by addition and subtraction. Rewrite 2x - y = 7 as y = 2x - 7:
y = 2x - 7
y = -x +2
-------------- SUBTRACT the second equation from the first, obtaining:
0 = 3x - 9. Then 3x = 9 and x = 3. Subbing 3 for x in y = 2x - 7, we get y = 2(3) - 7, or y = -1.
The two lines intersect at the point (3, -1).
