Answer:
The solution of system of equation is (-2,0)
Step-by-step explanation:
Given system of equation are
Equation 1 : 2x+y=(-4)
Equation 2 : y+
x=(-1)
To plot the equation of line, we need at least two points
For Equation 1 : 2x+y=(-4)
Let x=0
2x+y=(-4)
2(0)+y=(-4)
y=(-4)
Let x=1
2x+y=(-4)
2(1)+y=(-4)
y=(-6)
Therefore,
The required points for equation is (0,-4) and (1,-6)
For Equation 2 : y+
x=(-1)
Let x=0
y+
x=(-1)
y+
(0)=(-1)
y=(-1)
Let x=2
y+
x=(-1)
y+
(2)=(-1)
y=(-2)
The required points for equation is (0,-1) and (2,-2)
Now, plot the graph using this points
From the graph,
The red line is equation 1 and blue line is equation 2
Since. The point of intersection is solution of system of equations
The solution of system of equation is (-2,0)
I think maybe the second one I’m not fully sure but I hope this might help
Answer:
y +2 = 4(x -3)
Step-by-step explanation:
Point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 4 and (h, k) = (3, -2), the equation is ...
y +2 = 4(x -3) . . . . . matches the first choice
Answer:
4
Step-by-step explanation:
(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4
Answer:
⇒ Add 8x to both sides of the inequality
⇒ x>1/5
Step-by-step explanation:
First, you subtract by 5 from both sides of equation.
5-8x-5<2x+3-5
Solve.
-8x<2x-2
Then subtract by 2x from both sides of equation.
-8x-2x<2x-2-2x
Solve.
-10x<-2
Multiply by -1 from both sides of equation.
(-10x)(-1)>(-2)(-1)
Solve.
10x>2
Divide by 10 from both sides of equation.
10x/10>2/10
Solve to find the answer.
2/10=10/2=5 2/2=1=1/5
x>1/5 is final answer.
Hope this helps!