Solve the system of linear equations.

y = x + 3

y = 2x - 2

x=5, y=8

Step-by-step explanation:

Since both equations equal y, we can set them equal

y = x + 3

y = 2x - 2

x+3 = 2x-2

Subtract x from each side

x-x+3 = 2x-x-2

3 = x-2

Add 2 to each side

3+2 = x-2+2

5 = x

Now we need to find y

y = x+3

y=5+3

y=8

x = 5

y = 8

Step-by-step explanation:

to solve the linear system of equation, we would say that let

y = x + 3 ... equation 1

y = 2x - 2 ... equation 2

substitute for equation 1 into equation 2

we have

x + 3 = 2x - 2

collect the like terms

x + 3 + 2 = 2x

x + 5 = 2x

5 = 2x - x

5 = x

x = 5

substitute for the value of x = 5 in equation 2

y = 2x - 2 ... equation 2

y = 2 (5) - 2

y = 10 - 2

y = 8

Therefore the value of x and y in the linear equation is 5 and 8 respectively