What is the solution to the system of equations?

Use the linear combination method.

{2x+5y=4
3x−4y=29

Enter your answer in the boxes.

[7, - 2]

Step-by-step explanation:

The system of simultaneous linear equations is expressed as

2x + 5y = 4- - - - - - - - - - - - - 1

3x - 4y = 29- - - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 15y= 12 - - - - - - - - - - - - 3

6x - 8y = 58- - - - - - - - - - - - 4

Subtracting equation 4 from equation 3, it becomes

23y = - 46

Dividing the left hand side and the right hand side of the equation by 23, it becomes

23y/23 = - 46/23

y = - 2

Substituting y = - 2 into equation 1, it becomes

2x + 5 × - 2 = 4

2x - 10 = 4

2x = 10 + 4

2x = 14

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2x/2 = 14/2

x = 7

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is