Which of the following values for x and y satisfy the following system of the equations?
{ x + 4y = 10
{5x + 10y = 20
a. x = 3, y = 2
b. x = 2, y - 3
c. x = -2, y = 3
d. x = 3, y = -2

The answer to your question is letter C

Step-by-step explanation:

Equations

                             x  +  4y  =  10

                           5x + 10y  = 20

Process

1.- Substitute all the options in both equations and evaluate them

a) x = 3, y = 2              This option is incorrect

           (3) +  4(2)  =  10             3 + 8 = 10         11 ≠ 10

         5(3) + 10(2)  = 20           15 + 20 = 20      35 ≠ 20    

b) x = 2, y = -3       This option is incorrect

  (2)  +  4(-3)  =  10                  2 -12 = 10            -10 ≠ 10

  (2) + 10(-3)  = 20                   2 - 30 = 20        -28 ≠ 20

c)  x = -2, y = 3    This is the right answer

  (-2)  +  4(3)  =  10                -2 + 12 = 10            10 = 10

 5(-2) + 10(3)  = 20               -10 + 30 = 20          20 = 20

d) x = 3, y = -2               This option is incorrect

  (3)  +  4(-2) =  10                 3 - 6 = 10                 - 3 ≠ 10

 5(3) + 10(-2)  = 20              15 - 20 = 20              -10 ≠ 10

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

i cant answer this, theres no table. sorry man

step-by-step explanation: