Answer:
x + 5y = 7 or y = -⅕x + 1⅖
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:
y - y₁ = m(x - x₁)
y - 1 = -⅕(x - 2)
y - 1 = -⅕x + ⅖
+ 1 + 1
_______________
y = -⅕x + 1⅖ >> Line in <em>Slope-Intercept</em><em> </em><em>Form</em>
If you want it in Standard Form:
y = -⅕x + 1⅖
+⅕x +⅕x
___________
⅕x + y = 1⅖ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅕x + y = 1⅖]
x + 5y = 7 >> Line in <em>Standard Form</em>
__________________________________________________________
y - 2 = -⅕(x + 3)
y - 2 = -⅕x - ⅗
+ 2 + 2
______________
y = -⅕x + 1⅖
y = -⅕x + 1⅖
+⅕x +⅕x
___________
⅕x + y = 1⅖ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅕x + y = 1⅖]
x + 5y = 7 >> Line in <em>Standard Form</em>
** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!
I am joyous to assist you anytime.
2x + 7y = 4 (1)
-4x -3y = 14 (2)
=> 4x +14y = 8
-4x -3y = 14
=> 11y = 22 => y = 2
Subtitute y into the equation (1)
2x + 14 = 4
=> x = -5
So {x;y} = { -5;2 }
Answer:
B & D
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.
We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.
The estimated sum of 196 and 482 is 700.
We do estimates when we do mental calculation. We relate the number to the nearest number that can easily be computed mentally.
196 is near 200 so we round it up to 200
482 is near 500 so we round it up to 500
Thus, 200 + 500 = 700.
700 is the estimated sum.