Y=4 and x=-2 which is (4, -2)
Answer:
w = -7, -6
Step-by-step explanation:
Solve the equation by factoring:
(w+7)(w+6) = 0
Set each parenthesis equal to zero, and solve for w:
w = -7, -6
Hope this helps!
-EmV
Answer:
Linear function
y = 2x - 1
Step-by-step explanation:
This is a linear function because the line is straight, having no curved.
The equation for a linear graph is y=mx + b.
x and y represent points on he graph.
"m" represents the slope of the graph. Reading from left to right, if a positive slope, then the graph continues upward. If negative, then it's a graph down downwards.
"b" represents the y-intercept, when the graph hits the y-axis. It's also the initial value.
In the photo, we can see the y-intercept is (0, -1).
Slope is calculated by rise over run. Choose two random points on the graph. Count the "rise", or how many vertical units are between the points. If the point on the right is lower than the point on the left, the rise is negative. Count the "run", which is the number of horizontal units between the points.
For the point (0, -1) and (3, 5).
m = rise/run
m = 6/3
m = 2
Substitute m=2 and b= -1 into the equation of a line.
y = 2x - 1
9514 1404 393
Answer:
(x, y, z) = (-1, 0, -3)
Step-by-step explanation:
We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.
Adding equations 1 and 2:
(2x -3y -2z) +(x +3y +2z) = (4) +(-7)
3x = -3
x = -1
Adding equations 2 and 3:
(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)
-3x -y = 3
Substituting for x, we get ...
(-3)(-1) -y = 3
0 = y . . . . . . . . . . . add y-3 to both sides
Then z can be found from any equation. Substituting for x and y in the second equation gives ...
-1 +2z = -7
2z = -6 . . . . . add 1
z = -3 . . . . . .divide by 2
The solution is (x, y, z) = (-1, 0, -3).