What is the solution of the system of equations?
5x – 4y = −10
3x + 2y = 16

(2, 5)

Step-by-step explanation:

Step-by-step explanation:

The given system of simultaneous equations is

5x – 4y = -10 - - - - - - - - - - - 1

3x + 2y = 16 - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 5. It becomes

15x - 12y = - 30

15x + 10y = 80

Subtracting, it becomes

- 22y = - 110

Dividing the left hand side and right hand side of the equation by - 22, it becomes

- 22y/-22 = - 110/-22

y = 5

Substituting y = 5 into equation 1, it becomes

5x – 4 × 5 = -10

5x - 20 = - 10

5x = - 10 + 20

5x = 10

x = 10/5 = 2

(x,y)=(2,5)

Step-by-step explanation:

solve the equation for x

{5x-4y= -10

{x= 16/3 - 2/3y

substitute the given value of x into the equation 5x-4y= -10

5(16/3 - 2/3y) - 4y= -10

solve the equation for "y"

y=5

subsitute the given value of "y" into the equation x=16/3 - 2/3y

x= 16/3 - 2/3x5

solve the equation for x

x=2

the possible solution of the system is the ordered pair (x,y)

(x,y)=(2,5)

Check if the given ordered pair is the solution of the system of equations

{5x2-4x5= -10

{3x2+2x5=16

simplify the equalities

{-10= -10

{16=16

Since all of the equalities are true the ordered pair is the solution of the system

(x,y)=(2,5)

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