SOLUTION: 1. PLOT THE GRAPH OF THE EQUATIONS 3x - 8y = 5 and 4x - 2y = 11 AND INTERPRET THE RESULT. 2. PLOT THE GRAPH OF THE EQUATIONS 4x - 6y = 2 AND 2x

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Question 163509: 1. PLOT THE GRAPH OF THE EQUATIONS 3x - 8y = 5 and 4x - 2y = 11 AND INTERPRET THE RESULT.
2. PLOT THE GRAPH OF THE EQUATIONS 4x - 6y = 2 AND 2x - 3y = 1 INTERPRET THE RESULT.
3. PLOT THE GRAPH OF THE EQUATIONS 10x - 4y = 3 AND 5x - 2y = 6 INTERPRET THE RESULT.

4. SOLVE THE FOLLOWING QUESTIONS
a. JOE HAS A COLLECTION OF NICKELS AND DIMES THAT IS WORTH $5.65. IF THE NUMBER OF DIMES WERE DOUBLED AND THE NUMBER OF NICKELS WERE INCREASED BY 8, THE VALUE OF THE COINS WOULD BE $10.45. HOW MANY DIMES DOES HE HAVE?
b. AN EXPRESS AND LOCAL TRAIN LEAVE GRAY'S LAKE AT 3 P.M. AND HEAD FOR CHICAGO 50 MILES AWAY. THE EXP0RESS TRAVELS TWICE AS FAST AS THE LOCAL, AND ARRIVES 1 HOUR AHEAD OF IT. FIND THE SPEED OF EACH TRAIN.
c. WALT MADE AN EXTRA $9000 LAST YEAR FROM A PART-TIME JOB. HE INVESTED PART OF THE MONEY AT 9% AND THE REST 8%. HE MADE A TOTAL OF $770 IN INTEREST. HOW MUCH WAS INVESTED AT 8%?
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
3x-8y=5
-8y=-3x+5
y=-3x/-8+5/-8
y=3x/8-5/8 (red line).
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4x-2y=11
-2y=-4x+11
y=-4x/-2+11/-2
y=2x-11/2 (green line).
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(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/8 -5/8 and 2x -11/2).
Solution (3,1/2)
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4x-6y=2
-6y=-4x+2
y=-4x/-6+2/-6
y=2x/3-1/3 (red line)
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2x-3y=1
-3y=-2x+1
y=-2x/-3-1/3
y=2x/3-1/3 (green line).
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 -1/3 and 2x/3 +1/3).
Duplicate lines therefore no unique solution for x & y.
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That's how it is done.
I'll leave the rest for you to practice with.

SOLUTION: 1. PLOT THE GRAPH OF THE EQUATIONS 3x - 8y = 5 and 4x - 2y = 11 AND INTERPRET THE RESULT. 2. PLOT THE GRAPH OF THE EQUATIONS 4x - 6y = 2 AND 2x - 3y = 1 INTERPRET THE RESULT.