8(4x-4)=-5x-32 and -8(-8x-6)=-6x-22 With steps
1 answer:
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ANSWER
A.
EXPLANATION
The given equation is
This equation is already in the form:
This is called the slope-intercept form.
The slope is
and the y-intercept is 3.
The correct answer is A.
In a situation where the line is not given in the slope intercept form, then you must rewrite in this form before comparing.
Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.