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Answer:
y = -2x + 9
Step-by-step explanation:
slope intercept form : y = mx + b
where m = slope and b = y intercept
first let's find the slope
slope formula :
where the x and y values are derived from the given points
here we are given (2,5) and (6,-3)
(x1,y1) = (2,5) so x1 = 2 and y1 = 5
(x2,y2) = (6,-3) so x2 = 6 and y2 = -3
we now plug these values into the formula
recall formula
plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3
m = (-3 - 5) / ( 6 - 2 )
m = (-8)/(4)
m = -2
the slope is -2
now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b
y = mx + b
given point : (2,5) x = 2 , y = 5, m = -2
5 = -2(2) + b
5 = -4 + b
9 = b
so the equation would be y = -2x + 9
Adding both equations will eliminate a variable in the system of equations
Step-by-step explanation:
Given equations are:
One of the methods to solve simultaneous linear equations is elimination. In elimination one of the variables is eliminated from the system to find the value of other variable.
In the given equations we can see that the coefficients of y in both equations are same with opposite signs so adding both equations will eliminate the variable y from the system.
Hence,
Adding both equations will eliminate a variable in the system of equations
Keywords: Linear equations, variables
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Let x represent the larger number.
1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
6x +24(x -28) = x(x -28)
In standard form, this is
x^2 -58x +672 = 0
(x -42)(x -16) = 0
The two numbers are (-12 and 16) or (14 and 42).
1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
6x +24(x -28) = x(x -28)
In standard form, this is
x^2 -58x +672 = 0
(x -42)(x -16) = 0
The two numbers are (-12 and 16) or (14 and 42).
After 5 years Lily has $750+$225 = $975
The equation for interest rate looks like:
750 * x^5 = 975
x^5 = 975/750
x^5 = 1.3
x =![\sqrt[5]{1.3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B1.3%7D%20)
x = 1,0538
That means that interest rate is approximately 5,5% (B)
The reason for this calculation is because each year you multiply your money with interest rate and add that to your starting money.
After one year you will earn
750 + 750 * interest rate = money after 1 year.
After 5 years we multiply 5 times so our interest rate is x^5 and money after 5 years is 750 + 225.
The equation for interest rate looks like:
750 * x^5 = 975
x^5 = 975/750
x^5 = 1.3
x =
x = 1,0538
That means that interest rate is approximately 5,5% (B)
The reason for this calculation is because each year you multiply your money with interest rate and add that to your starting money.
After one year you will earn
750 + 750 * interest rate = money after 1 year.
After 5 years we multiply 5 times so our interest rate is x^5 and money after 5 years is 750 + 225.