Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
Answer: y = x/2 + 3
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
Looking at the graph,
y2 = 6
y1 = 4
x2 = 6
x1 = 2
Slope,m = (6 - 4)/(6 - 2) = 2/4 = 1/2
To determine the intercept, we would substitute x = 2, y = 4 and m= 1/2 into y = mx + c. It becomes
4 = 1/2 × 2 + c
4 = 1 + c
c = 4 - 1
c = 3
The equation becomes
y = x/2 + 3
First find out what 5% of 900 is.
0.05 * 900 = 45
Now subtract this from 900.
900 - 45 = 855
So £900 decreased by 5% is £855.
A triangle is equal to 180. Using that, we can make a equation.
6x-3 + 3x+6 + 5x = 180
Combining the like terms, we get:
14x+3 = 180
Subtract 3 on both sides.
14x = 177
Finally, divide 177 by 14.
x = 177/14 or about 12.6
I believe it is:
(−16/9, 1/9)
Solve for the first variable in one of the equations, then substitute the result into the other equation.