Solve the system of equations without graphing. Show your reasoning.

Literally help.​

- x+2y= - 4

2y= - x - 4

Y=x-4/2

Y=x-2

Now, 2nd equation

4x+3y=5

4x+3.x-2=5

4x+3x-2=5

7x-2=5

7x=5+2

x=5+2/7

x=7/7

x=1

Now, continue with 1st equation

y=x-2

y=1-2

y=1

Therefore x=1

And

y=1

i think it might be a but you might want a second opinion

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