" the quotient " means divide
(n/6) - 1 <== ur expression
It's best to write the two equations as a vertical column:
8x+14y=4
-6x-7y = -10
Note that if we multiply the 2nd equation by 2, we get -12x - 14y = -20. The reason for wanting this version of the 2nd equation is that its -14y cancels the +14y in the first equation:
-12x - 14y = -20
8x+14y=4
Combine these equations, column by column. We get -4x = -16, which results in x = 4. Now find y by subbing 4 for x in either given equation. If we use the first equation, we get 8(4) + 14y = 4, or 32 + 14y = 4, or 14y = -28. Then y = -2.
The solution to this system of linear equations is thus (4,-2).
Check this result by substitution of these coordinates into -6(4) - 7y = -20:
-24 - 7(-2) = -10. Is this true or not?
-24 + 14 = -10 is true. Thus, (4,-2) is the desired solution.
Answer:
405
Step-by-step explanation:
324 seniors is 4/5 of all seniors. To find how many 5/5 of the seniors is, we find 1/5 and multiply it by 5. Since 4/5 is 4 times 1/5, divide 324 by 4. The answer is 81, which is 1/5 of the seniors. Multiply 81 by 5 to get all 5/5. 81 * 5 is 405
Answer:
k=-1/5
Step-by-step explanation:
Factor and set each factor equal to zero.
Add 3 to both sides of the equation.
75k^2+30k+3=0
Factor 3 out of 75k^2+30k+3.
Factor using the perfect square rule.
Divide each term by 3 and simplify.
Set the 5k+1 equal to 0.
Solve for k.
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