Question 926109: A pair of equations is shown below:
y = 3x - 5
y = 6x - 8
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! y = 3x - 5
y = 6x - 8
---
put the system of linear equations into standard form
---
3x - y = 5
6x - y = 8
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution by matrix method:
x = 1
y = -2
the lines intersect at the point (1,-2)
by definition, the solution of a system of linear equations is the point of intersection (if any) of the lines
---
solve by elimination:
---
3x - y = 5
(6x - y = 8)*(-1)
---
3x - y = 5
-6x + y = -8
---
add the two equations:
---
-3x = -3
x = 1
y = 3x - 5
y = 3(1) - 5
y = -2
---
solution by elimination method:
x = 1
y = -2
the lines intersect at the point (1,-2)
by definition, the solution of a system of linear equations is the point of intersection (if any) of the lines
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
|
|
|
