Answer:
- there are no solutions (lines do not intersect)
- there is one solution (lines intersect at one point)
- there are an infinite number of solutions (lines overlap—are the same line)
Step-by-step explanation:
"A system of linear equations" covers a lot of territory. In Algebra 1, it usually means two linear equations in two unknowns. Each of those equations will graph as a line on a coordinate plane.
A solution is a point that satisfies all the equations. That is, it is a point that is on all the lines described by the system of equations.
The geometry of lines on a plane comes into play with regard to solutions.
- The lines may be parallel, hence never intersect. (<em>No points</em> will be on all the lines.)
- The lines may intersect at <em>one point</em>.
- The lines may be the same line, overlapping, identical, coincident, consisting of <em>all the same points, an infinite number</em>.
Answer: C
Step-by-step explanation:
Answer:
slope is 2
Step-by-step explanation:
The sum of the alternate interior angles is equal to the angle given to you there. So basically, the sum of the angles INSIDE the triangle that aren't next to the outside angle are equal to that outside angle's measure.
You already know that one of the angles is a right angle, which is equal to 90 degrees, so subtract that from the outside angle to get the measure of x.
122-90=x
x=32
