Question

4x - y = 3y + 7
X + 8y = 4
Based on the system of equations above, what is the
value of the product xy?

Answer 1

Answer:

1/2 or .5

Step-by-step explanation:

solve for x in the bottom equation

x = 4 - 8y

substitute the equation for x back into the top equation

4(4-  8y) - y = 3y + 7

solve for y

36y = 9

y = 1/4

substitute y back into the equation solving x

x = 4 - 8(1/4)

solve for x

x = 4 - 2

x = 2

xy = 1/4 * 2

xy = 1/2

Answer 2

The value of product xy is 0.5.

Given that,

• The first equation is 4x - y = 3y + 7.
• And, the second equation is x + 8y = 4.

Based on the above information we need to solve the equations

4x - y = 3y+ 7 .........(1)

x + 8y = 4

x = 4 - 8y.......(2)

Now put the x value in the first equation

4(4 - 8y) - y = 3y + 7

16 - 32y -y = 3y + 7

36y = 9

y = 1 ÷ 4

Now put the value of y in equation 2  

So,  

x = 4 - 8(1 ÷ 4)

= 4 - 2

= 2

Now the product of x and y is  

= 1 ÷ 4 × 2

= 1 ÷ 2

= 0.5

Therefore we can conclude that the value of product xy is 0.5.

Learn more: brainly.com/question/24169758