Which equation results from adding the equations in this system?

2 answers:

7 0

Id think the awnser is 7x=35 but not sure.

4 0

I think it's x= -5 because the bottom 4 cancel each other out.

11x- 3y=-17
-4x+3y=-18
-------------------
7x= -35 divide by 7

x= -5

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Rainbow [258]

Answer:

$y=-4x+2$

Step-by-step explanation:

First we find the slope of the line AB passing through the point (2,0)
line AB is perpendicular to the line $y=\frac{1}{4}x-3$ , this equation is slope intercept for, which is $y=mx+b$ so our m or slope is $\frac{1}{4}$
Since the slope of line AB is perpendicular to $m=\frac{1}{4}$ then we use the equation $slope of line1\times slopeofline2=-1$ , so what do we multiply $\frac{1}{4}$ by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
So we make the equation $y-y_1=m(x-x_1)$ so m= -4 and our point is (-1,6)
$y-(6)=-4(x-(-1)\\y-6=-4x-4\\y=-4x-4+6\\y=-4x+2$ thats the equation of line side CD