Solve the system of equations.

y = 3x + 5

y = 8x + 3

Answer: x = 2/5, y = 31/5

Step-by-step explanation:Let's work to solve this system of equations:

y = 3x + 5 : Equation 1

y = 8x + 3 : Equation 2

The tricky thing is that there are two variables, x and y. If only we could get rid of one of the variables ...

subsitute y = 8x + 3 : [8x+3=3x+5]

isolate x for 8x+3=3x+5: x+2/5

y=6.2 and x=0.4 or (0.4,6.2)

Step-by-step explanation:

Since both expressions are equal to y, we can set them equal to each other and solve for x:

3x+5=8x+3

5=5x+3

2=5x

2/5=x

0.4=x

Now to solve y:

y=8 (2/5) + 3

y=16/5+3

y=3.2+3

y=6.2

Check answers:

6.2=3 (0.4) + 5

6.2=1.2+5

6.2=6.2

6.2=8 (0.4) + 3

6.2=3.2+3

6.2=6.2

Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair