Solve the following system by substitution

y=-6x+10

-5x + y = -1

Step-by-step explanation:

y = -6x + 10 (1)

-5x + y = -1 (2)

Sub (1) into (2)

-5x + (-6x + 10) = -1

-5x - 6x + 10 = -1

-11x = -11

-11x/-11 = -11/-11

x = 1

Sub x = 1 into (1)

y = -6(1) + 10

y = -6 + 10

y = 4

dd

step-by-step explanation:

dd

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