Question

Which ordered pair is the solution to the system of equations?

{y=2x−154x+3y=−5
Responses

(5, −5)
begin ordered pair n 5 comma negative 5 end ordered pair

(0, 6)
begin ordered pair 0 comma 6 end ordered pair

(4, −7)

Answer 1

Answer: (4,-7) is the solution to this system of equations.

Explanation:

y = 2x − 15;4x + 3y = −5

Step: Solve y= 2x − 15 for y:

Step: Substitute 2x − 15 for y in 4x + 3y = −5:

4x + 3y = −5

4x + 3(2x−15) = −5

10x − 45 = −5 (Simplify both sides of the equation)

10x − 45+45 = −5+45 (Add 45 to both sides)

10x = 40

10x/10 = 40/10 (Divide both sides by 10)

x = 4

Step: Substitute 4 for x in y = 2x − 15:

y = 2x − 15

y = (2) (4) − 15

y = −7 (Simplify both sides of the equation)

I hope this helps!