X-2y=5 3x+15y=-6 the graph that correctly represents the given system of equations is graph (b) , and the solution to the system is __ , __ options for the first 1 3 -3 4 -4 options for the second 1 2 -1 -2 1 plss asap doin a mastery test on plato !

Given : x - 2y = 5

Multiplying the entire equation with 3, we get :

3x - 6y = 15 [1]

Given : 3x + 15y = -6 [2]

Subtracting Equation [2] from Equation [1], We get :

⇒ (3x - 6y) - (3x + 15y) = 15 + 6

⇒ -6y - 15y = 21

⇒ -21y = 21

⇒ y = -1

Substituting y = -1 in Equation [1], We get :

⇒ 3x + 6 = 15

⇒ 3x = 9

⇒ x = 3

So, the solution to the system is : x = 3 and y = -1

First Blank : 3

Second Blank : -1

x = 12

y = 15

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions