SOLUTION: Solve the system of equations
8x + 4y = 8
-12x + 3y = 12
a) symbolically
b) graphically
c) numerically
Can someone assist me with this. I need to see how the solution w
Algebra.Com
Question 459937: Solve the system of equations
8x + 4y = 8
-12x + 3y = 12
a) symbolically
b) graphically
c) numerically
Can someone assist me with this. I need to see how the solution was arrived at.
Thank you in advance for your assistance.
Devoted,
Minka.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
: Solve the system of equations
8x + 4y = 8
-12x + 3y = 12
:
multiply the the 1st equation by 1.5, use elimination here
12x + 6y = 12
-12x+ 3y = 12
--------------adding eliminates x, find y
9y = 24
y =
y =
:
Use the 2nd equation to find x, replace y with 8/3
-12x + 3() = 12
-12x + 8 = 12
-12x = 12 - 8
x =
x =
:
therefore solution is: x = , y =
Is this symbolically or numerically? I don't know.
:
But graphically, put both equations in the slope/intercept form
8x + 4y = 8
4y = -8x + 8
Divide by 4
y = -2x + 2; (red)
and
-12x + 3y = 12
3y = 12x + 12
divide by 3
y = 4x + 4, (green)
:
Graph these two equations, should look like this
:
Note the intersection is x = , y =
:
Minka is a great name!
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