Click here
Completion requirements
Compare your answers
- Use technology to solve each of the following systems of linear equations.
-
«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»4«/mn»«mo».«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/math» and «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»9«/mn»«mo».«/mo»«mn»5«/mn»«/math»
The intersection occurs at the point (1.4, 5.3), so this is a solution to the system of equations.
-
«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mi»y«/mi»«mo»-«/mo»«mn»9«/mn»«mo»=«/mo»«mn»0«/mn»«/math» and «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»9«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«mi»y«/mi»«mo»+«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«/math»
Some graphing programs will require you to isolate y before entering the equation.
The intersection point occurs at approximately (–2.52, 2.81), so this is an approximate solution.
-
«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»4«/mn»«mo».«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/math» and «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»9«/mn»«mo».«/mo»«mn»5«/mn»«/math»