Answer:x=-14y=174
y=3x+5,y=-x+4
3x+5=-x+4
There are infinite number of solutions!
Move all terms containing
x
x to the left side of the equation.
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4
x
+
5
=
4
4x+5=4
y
=
−
x
+
4
y=-x+4
Move all terms not containing
x
x to the right side of the equation.
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4
x
=
−
1
4x=-1
y
=
−
x
+
4
y=-x+4
Divide each term by
4
4 and simplify.
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x
=
−
1
4
x=-14
y
=
−
x
+
4
y=-x+4
Replace all occurrences of
x
x with the solution found by solving the last equation for
x
x. In this case, the value substituted is
−
1
4
-14.
x
=
−
1
4
x=-14
y
=
−
(
−
1
4
)
+
4
y=-(-14)+4
Simplify the right side.
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x
=
−
1
4
x=-14
y
=
17
4
y=174
The solution can be shown in both point and equation forms.
Point Form:
(
−
1
4
,
17
4
)
(-14,174)
Equation Form:
x
=
−
1
4
y
=
17
4
x=-14y=174
I want to say it's 45 degrees. I got it by subtracting 180 and 90 then you get 90 and you divide that by 2. The reason I subtracted by 180 is because that's how many degrees a triangle is. I hope it helps.
If we consider it as a combination problem, then we could calculate the how many combinations are there if we pick up three nodes out of six nodes, and then we have:
And the answer should be 20
Answer:
y = -2x - 6
The y-intercept will be (0,-6)
One point will be at (1,-8)
The line will go downward since it is a negative slope
Step-by-step explanation:
y−2=−2(x+4)
Distribute
y - 2 = -2x - 8
Move the constant to the other side
y - 2 = -2x - 8
+2 = +2
y = -2x - 6
Answer:
89/13
Step-by-step explanation:
Step 1:
Multiply the denominator by the whole number
13 × 6 = 78
Step 2
Add the answer from Step 1 to the numerator
78 + 11 = 89
Step 3
Write answer from Step 2 over the denominator
89/13
