X = 3y - 2
x= -7y + 8

x = -9.5

y = -2.5

Step-by-step explanation:

to evaluate this linear system of equation, we would say that

let

x = 3y - 2 equation 1

x= -7y + 8 equation 2

substitute equation 2 into equation 1

3y -2 = 7y + 8

collect the like terms

3y -2 -8= 7y

-10 = 7y -3y

-10 = 4y

divide both sides by 4

-10/4 = 4y/4

-2.5 = y

y = -2.5

put the value value of y into equation 1

x = 3y - 2 equation 1

x = 3(-2.5)  -2

x = -75 - 2

x = -9.5

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region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true