Rewrite it in the form a^2 - b^2, where a = x and b = 5
x^2 - 5^2
Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)
<u>= (x + 5)(x - 5)</u>
5x + 2y = 22
10x + 9y = 59
so now we need to either eliminate the y or the x and we need to multiply both numbers by something so that they will be the same and we can add or minus them.
so here I will eliminate x because it's easier
we multiply the top equation by 2 and the bottom equation by 1 and we get
10x + 4y = 44
10x + 9y = 59
so now we can see that the number of x's are the same and we can just find the DIFFERENCE between the two equations if it was -10x and 10x we would ADD
= 5y = 15
notice that the x'a have cancelled each other out
now we divide both sides by 5 so
y=3
now we have y, we need to substitute it into one of the original equations, doesn't matter which one. I'm going to do the first one.
5x + 2y = 22
5x + 2(3)=22
5x + 6 = 22
now minus 6 from both sides
5x = 16
divide both sides by 5
x = 3.2
we have our answers but to be sure we need to just substitute the values for x and y into BOTH original equations.
5x + 2y = 22
= 16 + 6 = 22
10x + 9y = 59
= 32 + 27 =59
Tadaa!! and there you have it
y = 3
x = 3.2
hope this helped :)
Mickey mouse and donald duck
Answer: x = 38.4
Step-by-step explanation:
7-x/3 = -1-x/8
1. Add 1 to both sides
8-x/3 = -x/8
2. Add x/3 to both sides
8 = x/3 - x/8
3. Multiply x/3 by 8/8 and x/8 by 3/3 to get the same number under the quotient
8 = 8x/24 - 3x/24
4. calculate the difference between 8x/24 - 3x/24
8 = 5x/24
5. Multiply both sides by 24/5, and there is the answer
38.4 = x
