Question

Solve for x and y. 3x+8y=20. 5x+3y=23

Answer 1

Equation 1:

x= -8/3y + 20/3

y= -3/8x + 5/2

Equation 2:

x= -3/5y + 23/5

y= -5/3x + 23/3

Explanation:

SEE BELOW FOR STEPS

Answer 2

x=4 and y=1

Explanation:

Equation 1) 3x+8y=20

Equation 2) 5x+3y=23

Equation 1) 5(3x+8y=20 )

Equation 2) 3(5x+3y=23)

15x+40y=100

15x+9y=69

(Take away 40y from 9y and 100 from 69)

31y = 31

y=1

Substitute y=1 into equation 1)

3x+8=20

(Take away 8 from both sides)

3x=12

(Divide by 3)

x=4