Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,
Now we have to move 4x to the left side by subtracting 4x from both sides.
To get x, we will divide both sides by 17. We will get,
So the smaller number =
The larger number = =
So we have got the required numbers.
Smaller number = and larger number =
.
<em>Equation b) (-3 + 5i) (1) = -3 + 5i demonstrates the multiplicative identity property </em>
<h3>Further explanation</h3>There are several properties in integer multiplication operations
Multiplication between integers will produce integers too
a x b = b x a
ax (bxc) = (axb) xc
ax1 = 1 x a = a
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
The Multiplicative Identity is <u><em>1 </em></u>
<u><em>The multiplicative identity property states that any number multiplied by 1 will produce an original number. </em></u>
We complete the answer choices available from the problem above:
a) (- 3 + 5i) + 0 = -3 + 5i
O is an identity in the sum operation, the statement is false
b) (-3 + 5i) (1) = -3 + 5i
1 is a Multiplicative Identity of multiplication, so the statement is true
c) (-3 + 5i) (-3 + 5i) = -16-30i
d) (-3 + 5i) (-3 + 5i) = 16 + 30i
choice c and is a multiplication factor, so the statement is false
<h3>Learn more </h3>
the substitution method
The work of a student to solve a set of equations
Keywords: Multiplicative Identity property, integers
