SOLUTION: If x = 4y + 3 and y = �2x � 3, what is the value of xy? A) �1 B) 0 C) 1 D) 3

Question 998751: If x = 4y + 3 and y = �2x � 3, what is the value of
xy?
A) �1
B) 0
C) 1
D) 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Use the equations to solve for x and y. First we'll solve for x after doing a substitution
x = 4y+3
x = 4(-2x-3)+3
x = 4(-2x)+4(-3)+3
x = -8x-12+3
x = -8x-9
x+8x = -9
9x = -9
x = -9/9
x = -1

Now find y
y = -2x-3
y = -2(-1)-3
y = 2-3
y = -1

Finally, multiply the values
x*y = (-1)*(-1) = 1

Final Answer: C) 1
RELATED QUESTIONS
If {{{x^2+y^2=85}}} and xy=5, what is the value of {{{(1/x-1/y)^2}}}? A) 5 B) 75 C) 80 (answered by ikleyn)

If k(2x + 3)(x � 1) = 0 and x > 1, what is the value of k? A -3/2 b 0 c 2/3 (answered by dabanfield,palanisamy)

in the equation x^2-x+2x=6, X=Y-1. what is one possible value of Y? A. 2 B. 3 (answered by Boreal)

The function f is defined by {{{f(x)=3x^3-2x^2+cx}}}, where c is a constant. The graph of (answered by jim_thompson5910)

If 3x - 4y = 5, then what is the value of y/3 - x/4? Answer Choices: a) 5 b) -5/12... (answered by Boreal)

If x= -1 and y=2 what s the value of the expression 2x^3... (answered by rfer)

solve the system and find the value of y 2x+3y=1 5x-4y=-32 a.-8 3/7 b.8 3/7 c.-3 (answered by madhujiithcharu@yahoo.co.in)

If 0 ≤ x ≤ 8 and − 1 ≤ y ≤ 3 which of the following gives... (answered by Fombitz)

If f(x-1)=2x+3 for all values of x, what is the value of f(-3)? A) -7 B) -5 C) -3 D)... (answered by jim_thompson5910)