SOLUTION: 2x+3y=13 4x-2y=2 plot the simultaneous equations on a graph determine x and y

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Question 165026: 2x+3y=13
4x-2y=2
plot the simultaneous equations on a graph determine x and y
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Working eqn: POINT SLOPE FORM: highlight%28y=mx%2Bb%29
1st eqn:2x%2B3y=13
simplifying,
3y=13-2x, divide both terms by 3
y=%2813-2x%29%2F3
y=%2813%2F3%29-%282x%2F3%29
We see f(x)=0;
y=13%2F2, (0,13/3)
For x:
2x%2B3y=13
2x=13-3y divide both terms by 2
x=%2813-3y%29%2F2
x=%2813%2F2%29-%283y%2F2%29
We see f(y)=0;
x=13%2F2, (13/2,0)
See graph
-- see red line (13/2,13/3)
2nd eqn:
4x-2y=2
simplifying,
2y=4x-2 divide both terms by 2
2y%2F2=4x%2F2-2%2F2 --> cross%282%29y%2Fcross%282%29=cross%284%29x%2Fcross%282%29-%28cross%282%29%2Fcross%282%29%29
y=2x-1
We see f(x)=0;
y=-1, (0,-1)
We see f(y)=0;
y=2x-1 ---> y%2B1=2x --> y%2F2%2B1%2F2=cross%282%29x%2Fcross%282%29
x=y%2F2%2B1%2F2=0%2F2%2B1%2F2
x=1%2F2, (1/2,0)
See graph below,
see line (1/2,-1)
Thank you,
jojo