23.5k views
2 votes
describe the solution set of the system of equations made by the equation y=1.5x+4.5 and the graphed line

User DGH
by
8.8k points

1 Answer

2 votes

The solution to the system of equations is x=1.6 and y=−1.6. Therefore, the correct answer from the given options is (1.6,−1.6).

To find the solution to the system of equations y=1.5x−4 and y=−x, you can set the two expressions for y equal to each other:

1.5x−4=−x

Now, solve for x:

1.5x+x=4

2.5x=4

x= 4/2.5​ =1.6

Now that you have the value of x, substitute it back into one of the original equations to find y. Let's use y=−x:

y=−(1.6)=−1.6

So, the solution to the system of equations is x=1.6 and y=−1.6. Therefore, the correct answer from the given options is

(1.6,−1.6).

Question

what is the solution to the system of equations? y = 1.5x – 4 y = –x (–1.6, 1.6) (–1.5, 1.5) (1.5, –1.5) (1.6, –1.6)

User Maysara
by
9.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories