83.5k views
1 vote
-15x + 20y = 15-5
0-18x + 24y - 18

1 Answer

3 votes

Answer:

To solve this system of linear equations, we need to first rewrite the equations in standard form, which is the form y = mx + b. To do this, we can isolate the y-term on one side of the equation and the x-term and constant on the other side. For example, the first equation can be rewritten as follows:

-15x + 20y = 15-5

20y = 15 - 5 - 15x

y = -3/4 x + 2

Similarly, the second equation can be rewritten as follows:

0 - 18x + 24y - 18

24y = -18 - 18x

y = -3/2 x - 1

Now that the equations are in standard form, we can find the point of intersection by setting the two equations equal to each other and solving for x:

-3/4 x + 2 = -3/2 x - 1

-3/4 x + 2 + 3/2 x = -1 + 3/2 x

x = -1/6

Substituting this value of x into either equation, we can solve for y to find the point of intersection:

y = -3/4 x + 2

y = -3/4 (-1/6) + 2

y = 1/3

Therefore, the point of intersection for these two equations is (-1/6, 1/3). This means that the system of equations has exactly one solution at this point.

User Davy Kavanagh
by
8.4k points
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