Question

The following system of linear equations is solved by graphing them on the coordinate plane. y=3x−2y=−35x−1 Which ordered pair is the best approximation of the solution to the system? Responses A (−1,0) B (−1,−1) C (0,−1) D (1,1)

Answer 1

The solution to the system of equations is x = 0.277 and y = -1.16. The ordered pair representing the solution is (5/18, -7/6) which further simplified gives (0.277 , -1.16)

Certainly! Let's go through the detailed calculation step by step:

Given system of linear equations:

y = 3x - 2

y = -3/5x - 1

Now, set the two equations equal to each other to find the point of intersection:

3x - 2 = -3/5x - 1

Combine like terms:

3x + 3/5x = 2 - 1

15/5x + 3/5x = 1

Combine the terms with a common denominator:

18/5x = 1

Now, solve for x:

x = 5/18

x ≈ 0.277

Now, substitute x = 5/18 into either of the original equations. Using the first equation y = 3x - 2:

y = 3(5/18) - 2

Now, perform the calculations:

y = 15/18 - 2

y = 15/18 - 36/18

y = -21/18

Simplify the fraction:

y = -7/6

y ≈ -1.16

The question probable may be:

The following system of linear equations is solved by graphing them on the coordinate plane. y=3x−2 y=−3/5x−1. State the solutions of the linear equations.