An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,
2x + y + 3x - y = 4 + 6
5x = 10
Hence, the correct option is A, the sum will be equal to 5x = 10.
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Part A
Her steps were
Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like 
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Part B
Here's what she should have written
If you want to convert that improper fraction to a mixed number, then you could do something like this
Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To
convert the general equation to vertex form, we need to obtain this form:
(y- k)= a(x - h)^2
This could be done by using completing the square method.
</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x)
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4)
</span>y - 10 = -3(x+2)^2
Therefore, the answer is the first option.
Using elimination method. Using substitution will cause some fraction problems.
c- child tickets
a- adult tickets
4a + 7c = $83
5a + 6c = $90
multiply by -5
-20a - 35c = -$415
20a + 24c = $360
-11c= -$55
c = $5 child tickets
4a + 7(5)= $83
4a + 35 = $83
4a = $48
a= $12 adult tickets
3x^2+16x-35 is the answer and I need 20 word
