Question

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

Answer 1

The larger number is 8

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