X= # of adults
y= # of children
1326= 6x + 4y
289= x + y
We are going to do substitution.
x = 289-y
1326= 6(289-y) + 4y
1326= 1734 -6y + 4y
1326= 1734 + -2y
-408= -2y
204 = y
Since we now have a value for y, we should plug that back into the equation we got the x value from to find the actual numerical value of x.
289= x + y
289= x + 204
85= x
In conclusion, 85 adults and 204 adults went to the swimming pool.
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Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
The zeros of a polynomial function are found by factoring in the form
a(x - r1)(x - r2)(x - r3) ... = 0, where each 'r-something' is a root (or solution) and 'a' is the leading coefficient.
Like if we have 3x² - 3x - 6 = 0
Factoring it as 3(x-2)(x + 1) = 0 shows the roots are 2 and -1.
And sine the right side is zero, we can even drop the factor of 3 on the left, and still have an equivalent equation (has same answers).
(x-2)(x + 1) = 0
The reason this works is because each factor in parentheses adds up to zero, creating a factor of zero in what is being multiplied on the left. And we know that if you have a series of factors in a product, and any one of those factors is zero, the whole product must be zero. So what is on the left equals the zero on the right, making the equation true.