How many solutions does the system have? \begin{cases} y = -7x+8 \ y = -7x-8 \end{cases}
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y=−7x+8
y=−7x−8
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Choose 1
Choose 1

(Choice A)
A
Exactly one solution

(Choice B, Checked)
B
No solutions

(Choice C)
C
Infinitely many solutions

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

the answer for this is 0.25 km. : )