77.1k views
2 votes
-2x+y=0
y= 1/2x - 3


User Kiswa
by
8.9k points

1 Answer

6 votes

Answer:

To solve the system of equations:

-2x + y = 0

y = (1/2)x - 3

We can use the method of substitution or elimination. Let's solve it using the substitution method:

Step 1: Solve one equation for one variable in terms of the other variable. In this case, we have y = (1/2)x - 3 from the second equation.

Step 2: Substitute the expression for y in the first equation with the value obtained in step 1. We substitute y with (1/2)x - 3 in -2x + y = 0:

-2x + (1/2)x - 3 = 0

Step 3: Simplify and solve for x:

-4x + x/2 - 3 = 0

-8x + x - 6 = 0

-7x - 6 = 0

-7x = 6

x = -6/7

Step 4: Substitute the value of x back into one of the original equations to solve for y. Let's use the second equation:

y = (1/2)(-6/7) - 3

y = -3/7 - 3

y = -3/7 - 21/7

y = -24/7

Therefore, the solution to the system of equations is x = -6/7 and y = -24/7.

User Tor Livar
by
7.6k 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