Question

Which set of coordinates satisfies the equations 3x − 2y = 15 and 4x − y = 20?

A. (2, -7)
B. (1, -6)
C. (5, 0)
D. (0, -7.5)

Answer 1

Answer:

C. (5,0)

Step-by-step explanation:

you can check the graph at the point where those two lines meet

or

solve the simultaneous equation

you will solve for x=5 and y=0 if you use elimination/substitution

Answer 2

Answer:

(5,0)

Step-by-step explanation:

we have two equations with two unknown variables

equation 1 :    3x -2y =15

equation 2:    4x  -  y =20

we can multiply the equation 2  for  two in order to add the equations and  eliminate a term

(-2)*(equation 2)= -2(4 x- y) =-2*20

                       

-8x +2y=-40     equation 3

now, let´s add the equation 3 to equation 1

-8x +2y = -40

3x  -2y =  15

___________

-5x  +0     =-25

$x=\frac{-25}{-5} \\x=5$

and leaving y from equation 2

4 x - y =20

4x -20 =y

y=4(5)-20

y=20-20=0

y = 0

the only coordinate that satisfies the equation is  (5,0)

have a great day