Systems of equations with different slopes and different y-intercepts have more than one solution. (5 points)
2 answers:
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Answer:
The two numbers are 9 and -26.
The larger number is 9.
Step-by-step explanation:
Let the two unknown numbers be x and y.
The sum of a four times a number x and another number y is 10. Hence:
And the difference between the two numbers is 35. So:
So, we have the system of equations:
From the second equation, we can add y to both sides:
Now, we can substitute this into the first equation:
Distribute:
Simplify:
Subtract 140 from both sides:
Divide both sides by 5:
So, the value of y is -26 .
Then it follows that the value of x is:
Substitute -26 for y:
So, our two numbers are 9 and -26.
The larger number is 9.
So, our answer is 9.