First off, do a prime factoring of the constant and leading coefficient, namely 9 and 8 respectively.
so a prime factoring of 8 is 2*2*2, and a prime factoring of 9 is 3*3.
so, those are the factors... now, how do we produce products that gives us the middle coefficient +18?
well, let's see hmmmm 2 * 3 * 3 and 2 * 3....so that's 18 + 6, that's 24.. .so... no good is not 18, let's try again.
2*2*3 and 2 * 3, so that's 12 + 6, now, that's +18
so we'll use those, 2*2*3 and 2*3, or 4 * 3 an 2 * 3, (4x + 3)(2x + 3) = 0.
Find the unit rate:
1/4 yd 1(5)
---------- = -------- = 5/4 yards, or 1 1/4 yards, in one hour. This is 1.25 yards.
1/5 hr 4(1)
Answer:
Step-by-step explanation:
5x + 13y = 232
12x + 7y = 218
For each choice:
a) The first equation can be multiplied by –13 and the second equation by 7 to eliminate y. So we have
- 65x - 169y = - 3016
84x + 49y = 1526
Can not eliminate x and y.
b) The first equation can be multiplied by 7 and the second equation by 13 to eliminate y. So we have
35x + 91 y = 1624
156x + 91y = 2834
Can not eliminate x and y if we ADD.
<em>(If we subtract, this is Yes)</em>
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c) The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
-60x - 156y = - 2784
60x + 35y = 1090
The answer is YES
d) The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
25x + 65y = 1160
144x + 84y = 2616
Can not eliminate x and y
The final answer is C
