SOLUTION: For the following systems of linear equations: a) Determine how many solutions exist b) Use either elimination or substitution to find the solutions (if any) c) Graph the two l

Algebra ->  Linear-equations -> SOLUTION: For the following systems of linear equations: a) Determine how many solutions exist b) Use either elimination or substitution to find the solutions (if any) c) Graph the two l      Log On


   

Question 131704: For the following systems of linear equations:
a) Determine how many solutions exist
b) Use either elimination or substitution to find the solutions (if any)
c) Graph the two lines, labeling the x-intercepts, y-intercepts and points of intersection.
y = 2x + 3 and y = -x - 4
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y=2X+3 (red line)NOW REPLACE Y IN THE OTHER EQUATION & SOLVE FOR X
Y=-x-4 (green line)
2X+3=-X-4
2X+X=-4-3
3X=-7
X=-7/3 ANSWER.
Y=2*-7/3+3
Y=-14/3+3
Y=(-14+9)/3
Y=-5/3 ANSWER.
(-7/3,-5/3) IS THE INTERSECTION OR SOLUTION TO THESE 2 EQUATIONS.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+%2B3%2C+-x+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and -x -4).