SOLUTION: i need help on if there is a equation like.. 4x+y=3 2x=3y+4 after you solve it how do you graph it? and see if its no solution , infintely many , one solution?

Question 246174: i need help on if there is a equation like..
4x+y=3
2x=3y+4
after you solve it how do you graph it?
and see if its no solution , infintely many , one solution?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
i need help on if there is a equation like..
That's a system of 2 equations.
There are several ways to solve the system.
Substitution is 1 way. Solve one eqn for y, then sub for y into the other eqn.
------------
4x+y=3 --> y = -4x + 3
2x=3y+4
Sub for y
2x = 3(-4x+3) + 4
2x = -12x + 9 + 4
2x = -12x + 13
14x = 13
x = 13/14
---------
sub for x into either eqn:
4(13/14) + y = 3
y = 3 - 26/7 = -5/7
y = =5/7
-----------
after you solve it how do you graph it?
The graphs are 2 straight lines. Find 2 points for each eqn and draw a line thru them.
4x+y=3 --> y = -4x + 3
Pick values for x and find y
x...y
0...3 --> (0,3)
2...-5 --> (2,-5)
Plot the 2 points and draw a line thru them.
Do the same for the other eqn
------------------
and see if its no solution , infintely many , one solution?
Since x and y have been solved for, there's one (1) solution.

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