Question

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

Answer 1

Answer:

$x=3\\y=1$

Step-by-step explanation:

To solve the system of equations you must apply the proccedure shown below:

- Make both equations equal to each other.

- Solve for x.

Then:

$\frac{2}{3}x-1=-x+4\\\\\frac{2}{3}x+x=4+1\\\\\frac{5}{3}x=5\\5x=5*3\\x=\frac{15}{5}\\\\x=3$

- Substitute the value of x obtained into any on the original equations to find y:

$y=-3+4\\y=1$

Answer 2

Answer:

The solution is x = 3 and y = 1.

Step-by-step explanation:

We have given a system of equations.

y= 2/3x -1                    eq(1)

y= -x + 4                      eq(2)

We have to find the solution of given equations.

Equating above of equations, we have

2/3x-1  = -x+4

2/3x+x  = 4+1

5/3x  = 5

5x  = 15

x  = 3

Putting the value of x in eq(2), we have

y  = -3+4

y = 1

Hence, the solution is x = 3 and y = 1.