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:
fourth option
Step-by-step explanation:
Given
=
( cross- multiply )
y(w + 2) = 2z(2x - 1) = 4xz - 2z ( divide both sides by y )
w + 2 =
( subtract 2 from both sides )
w =
- 2
Answer:
80 ÷ 4 = 20, so 100 ÷ 4 = 25 students
Step-by-step explanation:
Is means equals to and of means multiply
20 = 80% * N
20 = .80 N
Divide each side by .8
20 / .8 = N
25 = N
there are 25 students
Answer:
410.76
Step-by-step explanation:
34.23 * 12= 410.76
1 year = 12 months