7x + 5y = -13
-2x - 7y = 21
The system of equations is elimination.
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algebra 1

x=14/39, y=-121/39. (14/39, -121/39).

Step-by-step explanation:

7x+5y=-13

-2x-7y=21

2(7x+5y)=2(-13)

7(-2x-7y)=7(21)

14x+10y=-26

-14x-49y=147

-39y=121

y=121/-39

y=-121/39

-2x-7(-121/39)=21

-2x+847/39=21

-2x=21-847/39

-2x=819/39-847/39

-2x=-28/39

2x=28/39

x=(28/39)/2

x=(28/39)(1/2)

x=28/78

simplify

x=14/39

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the answer is 21%.