Question

Please help I'm stuck on this :(

Answer 1

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).

Answer 2

Answer:

See the picture below for the graph.

To solve the given system of equations, we have to find the intersecting point of the two lines.

As shown in the picture below, the intersecting point is (3, -1).

Therefore, x = 3 and y = -1.