Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (a): (0,2) (b): (2,0) (c): (3,2) (d): (2,3)

Step-by-step explanation:

we have

------> equation A

------> equation B

we know that

If a ordered pair is a solution of the system of linear equations

then

the ordered pair must satisfy equation A and equation B

we're going to verify all the cases

case A)

Substitute the value of x and the value of y in equation A and equation B

Verify equation A

------> is true

the ordered pair satisfy equation A

Verify equation B

the ordered pair satisfy equation B

therefore

the ordered pair is a solution to the system of linear equations

case B)

Substitute the value of x and the value of y in equation A and equation B

Verify equation A

------> is not true

the ordered pair does not satisfy equation A

therefore

the ordered pair is not a solution to the system of linear equations

case C)

Substitute the value of x and the value of y in equation A and equation B

Verify equation A

------> is not true

the ordered pair does not satisfy equation A

therefore

the ordered pair   is not a solution to the system of linear equations

case D)

Substitute the value of x and the value of y in equation A and equation B

Verify equation A

------> is not true

the ordered pair does not satisfy equation A

therefore

the ordered pair is not a solution to the system of linear equations

d i think

step-by-step explanation:

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct