Solve the system of equations shown by substitution. y=x-5 5x+2y=4

x=2,y=-3

Step-by-step explanation:

y=x-5(1)

5x+2y=4...(2)

Let's substitute (1) into (2)

5x+2(x-5)=4

5x+2x-10=4

7x-10=4

Add 10 to both sides

7x=14

Divide both sides by 7

x=2

Substitute the value for x into (1)

y=x-5

y=2-5

y=-3

Therefore x is 2,y is-3

x = 2, y = -3

Step-by-step explanation:

y= x - 5

5x + 2y = 4

5x + 2(x - 5) = 4

5x + 2x - 10 = 4

7x = 14

x = 2

y = 2 - 5

y = -3

answer: the first graph

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: