a/b = 5
<h3>
Further explanation</h3>
We begin by considering a system of linear equations in two variables. Recall that such a system may be written in the general form
where p, q, m, n, r, and s are real constants and neither p and q nor m and n are both zero.
<u>Given:</u>
- . . . (Equation-1)
- . . . (Equation-2)
<u>Question:</u>
<u>Problem solving</u>
Solving the Equation-2 for a in terms of b, we obtain the equation
Substituting this expression for a into the Equation-1 yields
Finally, substituting this value of b into the expression of a obtained earlier gives
Therefore, the unique solution of the system is given by a = 50 and b = 10.
Another way is to use elimination.
We eliminate variable b by adding both of the equations.
a + b = 60
a - b = 40
_______ +
And we eliminate variable a by subtracting both of the equations.
a + b = 60
a - b = 40
_______ -
<u>Note: </u>
We can check our result by substituting the values of a = 50 and b = 10 into the equations. Thus,
. . . (Equation-1)
. . . (Equation-2)
Now we calculate the value of a/b.
Thus,
<h3>Learn more</h3>
- A linear programming problem brainly.com/question/3799248
- Determine the equation represents Nolan’s line brainly.com/question/2657284
- The midpoint brainly.com/question/3269852
Keywords: a + b = 60, a - b = 40, what is a/b?, a system of linear equations in two variables., real constants, the general form, expression, the unique solution