Answer:
x=−8
y=6=
Step-by-step explanation:
3x+4y=0
5x−3y=−58
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x+4y=0,5x−3y=−58
To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.
5×3x+5×4y=0,3×5x+3(−3)y=3(−58)
Simplify.
15x+20y=0,15x−9y=−174
Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.
15x−15x+20y+9y=174
Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.
20y+9y=174
Add 20y to 9y.
29y=174
Divide both sides by 29.
y=6
Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.
5x−3×6=−58
Multiply −3 times 6.
5x−18=−58
Add 18 to both sides of the equation.
5x=−40
Divide both sides by 5.
x=−8
The system is now solved.
x=−8,y=6
Coordinates are: (-8,6)
Graph:
Answer:
-2 <em>1/3</em>
Step-by-step explanation:
((4 * 3) - (-2) /(-2*3)
(12 + 2 ) / (-2 * 3)
14 / -6
-2 <em>1/3</em>
Answer:
<em>y = 255x + 6559</em>
Step-by-step explanation:
<u>Function Modeling</u>
We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):
x={2,5,9,14}
y={7069,7834,8854,10129}
We first test if the relationship is linear or not.
A linear relationship is tested by calculating the slope from any pair of points.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Selecting the first two points (2,7069) and (5,7834)
m = 255
Selecting the first two points (5,7834) and (9,8854)
m=255
If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.
Using the point-slope form of the line:
y - k = m( x - h )
We select the point (2,7069)
y - 7069 = 255( x- 2 )
Operating:
y - 7069 = 255x - 510
Adding 7069:
y = 255x - 510 + 7069
y = 255x + 6559
Solving for t:
Divide both sides by 52g:
Multiply both sides by -1:
Add 1 to both sides:
Multiply both sides by 100:
Answer:
Answer:
w = 25
(Hope this helps! Btw, I am the first to answer.)
