Question

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

Answer 1

There is only one set of coordinates that satisfies this equations. That set is (5,0). I hope this helps!

Answer 2

Answer:  The required set of co-ordinates that satisfies the given equations are (5, 0).

Step-by-step explanation:  We are given to find the set of co-ordinates that satisfies the following equations :

$3x-2y=15~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\4x-y=20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

We know that

the set of co-ordinates that will satisfy both equations (i) and (ii) will be the point of intersection of the straight lines represented by the equations.

From the graph, we note that

the straight lines represented by equations (i) and (ii) intersect at the point (5, 0).

Thus, the required set of co-ordinates that satisfies the given equations are (5, 0).