Question

Explain whether each equation is true or false? 62−28=60−30

3 - 8 = (2 . 8) - 8
16/-2 + 24/-2 = 40/-2

Answer 1

The first two equations are false because their simplified sides do not equal each other, while the third equation is true as both sides simplify to the same value.

Step-by-step explanation:

To determine whether each equation is true or false, we need to perform some calculations.

62−28=60−30: Performing the subtraction on both sides of the equation gives us 34 on the left side and 30 on the right side. Since 34 does not equal 30, this equation is false.

3 - 8 = (2 × 8) - 8: On the left side, 3 - 8 equals -5. On the right side, (2 × 8) - 8 simplifies to 16 - 8, which equals 8. Because -5 does not equal 8, this equation is false.

16/-2 + 24/-2 = 40/-2: Dividing each number by -2 on the left side, we get -8 + -12, which sums to -20. On the right side, 40 divided by -2 is -20. Since both sides equal -20, this equation is true.

Answer 2

The given equations are false because the two sides of each equation are not equal.

Step-by-step explanation:

To determine whether each equation is true or false, we need to solve them step-by-step and compare the results.

For the first equation: 62-28 is equal to 34, while 60-30 is also equal to 30. Since the two sides are not equal, the equation is false.

For the second equation: 3 - 8 is equal to -5, while (2 . 8) is equal to 16. Again, the two sides are not equal, so the equation is false.

For the third equation: -16/-2 is equal to 8, while 24/-2 is equal to -12. Once again, the two sides are not equal, so the equation is false.