Of the following options, what could be a possible first step in solving the equation -7x -5= x + 3
2 answers:
Answer:
Option a) Adding 7x to both the sides
Step-by-step explanation:
Given is an equation linear in one variable x.
To solve this equation we have to bring x terms on one side and constants on the other side.
Subtracting 5 from both sides will not eliminate the constant -5 hence wrong.
Adding x to both sides will make right side as 2x instead of eliminating x.
Combining like terms will give -7x-x not -7x+x hence incorrect
Adding 7x to both sides gets rid of x term on the left.
Hence this option is right answer
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Based on the equation, the coordinate point is (-4, 2). It is -4 because in the original equation, it's 
, but because it's positive, that must mean it was originally a negative. Why? Because a negative times an negative equals a positive.
Now, let's convert this to Slope-Intercept Form.
y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3
The slope of the line is 2/3 and the original point was (-4, 2).
Now, let's convert this to Slope-Intercept Form.
y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3
The slope of the line is 2/3 and the original point was (-4, 2).