Question

Determine the solution to the system of equations

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

Answer 1

x = 27/7 and y = -3/7

Step-by-step explanation:

In order to solve this, we will first solve the first equation for y.

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

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

y = 2/3x - 14/3

Now we can plug the value of the equation in for y in the second equation and use it to solve for x.

x + 2y = 3

x + 2(2/3x - 14/3) = 3

x + 4/3x - 18/3 = 9/3

7/3x - 18/3 = 9/3

7/3x = 27/3

x = 27/7

Then we can use this value to find the value of y.

x + 2y = 3

27/7 + 2y = 3

27/7 + 2y = 21/7

2y = -6/7

y = -3/7