It is not equivalent to the original
Answer:
(x, y) = (2, 10)
Step-by-step explanation:
Adding the two equations will eliminate the y-variable:
(-4x -y) +(-7x +y) = (-18) +(-4)
-11x = -22 . . . . . simplify
x = 2 . . . . . . . . . divide by -11
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Put this into the first equation to find y:
-4·2 -y = -18
-8 +18 = y = 10 . . . . . add 18+y
The solution is (x, y) = (2, 10).
Right now, the equation is in standard form, you need to get it to slope intercept form.
Step 1: subtract the 3x to the other side.
![6y = - 3x + 18](https://tex.z-dn.net/?f=6y%20%3D%20%20-%203x%20%2B%2018)
Step 2: divide the 6 to both sides
![y = - \frac{3}{6} + \frac{18}{6}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B6%7D%20%20%2B%20%20%5Cfrac%7B18%7D%7B6%7D%20)
Step3: This can be reduced to
![y = - \frac{1}{2} + 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%203)
Now you are ready to answer your questions
Y-intercept: this one is easy, it's just the 3 on the end (0,3)
X-intercept: you have to solve for x
Step 1: set the equation equal to Zero
![- \frac{1}{2} x + 3 = 0](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%203%20%3D%200)
Step 2: subtract the 3 to the other side
![- \frac{1}{2} x = - 3](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%3D%20%20-%203)
Step 3: multiply both sides by -2 to get rid of the fraction on the left.
![1x = 6](https://tex.z-dn.net/?f=1x%20%3D%206)
Step 4: technically you divide the 1 to both side, but you still get put 6.
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
FINAL ANSWER:
X-intercept (6,0)
Y-intercept (0,3)
Answer:
The length of unknown third side of right triangle can be found by using Pythagoras theorem. a = √(c^2 - b^2) is the formula to find the length a:, b = √(c^2 - a^2) is the formula to find the length b: and c = √(a^2 + b^2) is the formula to find the length c:.
Step-by-step explanation:
8w - 4w = -16
4w = -16
w = -16/4 = -4
w = -4