The sum of two numbers is 10 the larger number is four times the smaller number this is the system of equations used to represent the scenario is y equals negative x +10 and y equals 4x what is the larger number

The larger number is 8

Step-by-step explanation:

Let

x > the smaller number

y > the larger number

we know that

x+y=10

y=10-x > equation A

y=4x > equation B

Solve by substitution

substitute equation B in equation A and solve for x

4x=10-x

4x+x=10

5x=10

x=2

Find the value of y

y=4x> y=4(2)=8

therefore

The smaller number is 2 and the larger number is 8