Answer:
x=-3
Step-by-step explanation:
2
−
1
⋅
1
2
=
6
2-1 \cdot \frac{12}{x}=6
2−1⋅x12=6
Solve
1
Combine multiplied terms into a single fraction
2
−
1
⋅
1
2
=
6
2
+
−
1
⋅
1
2
=
6
2
Multiply the numbers
2
+
−
1
⋅
1
2
=
6
2
+
−
1
2
=
6
3
Subtract
2
2
2
from both sides of the equation
2
+
−
1
2
=
6
2
+
−
1
2
−
2
=
6
−
2
4
Simplify
Subtract the numbers
Subtract the numbers
−
1
2
=
4
5
Multiply all terms by the same value to eliminate fraction denominators
−
1
2
=
4
⋅
−
1
2
=
⋅
4
6
Simplify
Cancel multiplied terms that are in the denominator
Re-order terms so constants are on the left
−
1
2
=
⋅
4
-12=x \cdot 4
−12=x⋅4
−
1
2
=
4
-12=4x
−12=4x
−
1
2
=
4
7
Divide both sides of the equation by the same term
−
1
2
=
4
−
1
2
4
=
4
4
8
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
−
3
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Solution
=
−
3
B=2 :)
........................................................
Y - 5x = 10 can be written in the slope-intercept form as
y = 5x + 10
The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.
In this case, the 5 is the slope.
Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is
y = 5x + b
We need to find what b is.
We can use the given point, (3, 10), in for x and y and solve for b.
10 = 5 * 3 + b
10 = 15 + b
-5 = b
Now that we know that b = -5, we replace b with -5 to get our equation
y = 5x - 5
