Answer:
Given:
, y =6
To prove: x =7
On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.
or
42 = 8x -14 ......[1]
Addition Property of equality states that you add the same number to both sides of an equation.
Add 14 to both sides in equation [1];
42+14 =8x -14+14
Simplify:
56 = 8x
or
8x =56 ......[2]
Division Property of equality states that you divide the same number to both sides of an equation.
Divide by 8 to both sides of an equation [2];

Simplify:
x =7 Hence proved!
A two Column proof:
Statement Reason
1. 7y = 8x -14 Given
y= 6
2. 7(6) = 8x -14 Substitution property
3. 42+14 = 8x Addition property of equality
4. 56 =8x Simplify
5. x =7 Division Property of equality
Counter clockwise means it goes backwards so -90°
After the 90° counter clockwise rotation the coordinates are (4,-3)
Step-by-step explanation:
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Answer:
Slope: -1/3
Y-intercept: -6
Step-by-step explanation:
x + 3y = -18
x+18 = 3y
-3y/-3 = x/-3+18/-3
y = -1/3x - 6