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Name______________________
Math 60 Warm-Up, September 24, 2014
Solve
1. 3x – 4 = y
y + 3x = 2
(1, -1)
2. 3/2 x – 4y = 10
x + 8y = 12
First equation is 3x – 8y = 20, substitute x = 12 – 8y from the second
3(12 – 8y) - 8y = 20
36 – 24y – 8y = 20
-32 y = -16, y = 1/2 ; subst into x = 12 – 8y, x = 12 – 4 = 8
3. 3x – 4y = 25
6x – 8y = 10
No Solution
4. ½ x – ¼ y = 8
¾x–y=4
(112/5, 64/5)
No, I won’t give you one this messy on a test
5. A number plus three is five times a second number. The first number is also eight
times the second number. Find the two numbers
x + 3 = 5y
x = 8y
8y = 5y – 3
y = -1, x = -8
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