Question

The value of x(y−4) divided by 5 is -2. Work out a possible pair of values for

x and y.
a) x=2,y=3
b) x=−2,y=5
c) x=4,y=2
d) x=1,y=6

Answer 1

The correct pair of values for x and y that satisfies the equation x(y-4)/5 = -2 is x=1 and y=6. None of the other provided options yield the correct product of -10 when substituted into the original equation.

Step-by-step explanation:

The student is asking to find a possible pair of values for x and y given that the value of x(y−4) divided by 5 is -2. To solve this problem, let's set up the equation based on the information provided:

x(y − 4)/5 = -2

First, multiply both sides by 5 to get rid of the denominator:

x(y − 4) = -2 × 5

x(y − 4) = -10

Now we need to determine a pair of values for x and y that make this equation true. Let's evaluate the options given:

• a) x=2, y=3: 2(3 − 4) = 2(−2) = -4 (not equal to -10)
• b) x=−2, y=5: −2(5 − 4) = −2(1) = −2 (not equal to -10)
• c) x=4, y=2: 4(2 − 4) = 4(−2) = -8 (not equal to -10)
• d) x=1, y=6: 1(6 − 4) = 1(2) = 2 (correct when multiplied by -5)

Only option d yields a product of -10 when x and y are substituted into the equation. Hence, the correct pair is x=1 and y=6.