Question

Solve the system of equations. y= 3x +5 y= 8x +3

Answer 1

Answer:

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

Answer 2

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