Solve the system of equations. \begin{aligned} & 6x-5y = -32 & -7x+8y=46 \end{aligned} 6x−5y=−32 −7x+8y=46 x=x=x, equals y=y=y, equals

The solution is x=-2, y=4

Step-by-step explanation:

we have

----> equation A

----> equation B

Solve the system by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection point is (-2,4)

see the attached figure

therefore

The solution is x=-2, y=4

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

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