Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Answer:
look above
Step-by-step explanation:
hope it helps
<span>The equation you start with is the given equation.
x/6 + 2 = 15 a. Given
The next step in solving this equation is subtracting 2 from both sides.
x/6 = 13 b. Subtraction Property of Equality
Lastly, to cancel out the denominator, multiply both sides of the equation by 6.
x = 78 c. Multiplication Property of Equality
Answer:
</span>a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality
