Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
Answer:
Step-by-step explanation:
We need to write this equation in y=mx+b where m is the slope.
3y= -2x +9
y= -2/3 +9
So now that it is in the form of y=mx+b, we can find the slope. -2/3 is the slope of the equation. Hope that helps!
Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
Answer:
- 1/2
Step-by-step explanation:
We use the slope-intercept form to figure out our slope.
y = mx + b
Get y alone:
x + 2y = -8
2y = -x - 8
y = -x/2 - 4
Since m is the slope in y = mx + b, we can see that -1/2 is in the place of m, therefore our slope is -1/2
