Find the value of x.
2 answers:
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Answer:
Option D.(60, 135)
Step-by-step explanation:
Let
x -----> the number of acres of peas
y ----> the number of acres of carrots
we know that
The inequality that represent the problem is equal to
so
<em>Verify each case</em>
case A) (-50,160)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case B) (80,160)
substitute the value of x and the value of y in the inequality and then compare the result
----> is not true
therefore
The point is not a solution
case C) (75,-200)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case D) (60,135)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
therefore
The point is a viable solution
The solution to given system of equations is
The given equation has one solution
<em><u>Solution:</u></em>
Given system of equations are:
12x - 13y = 5 --------- eqn 1
x = 23y + 10 --------- eqn 2
We have to solve the system of equations by substitution
<em><u>Substitute eqn 2 in eqn 1</u></em>
12(23y + 10) - 13y = 5
276y + 120 - 13y = 5
263y = 5 - 120
263y = -115
<em><u>Substitute the above value of "y" in eqn 2</u></em>
Thus the solution to given system of equations is
Thus the given equation has one solution