Question

A number x added to a number y is equal to 100. The number y is also equal to 10 more than the number x doubled. Write and solve a linear system to find the value of x and y.

Answer 1

Answer: x + y=100---equation 1

y =10+ 2x-----equation 2

x=30, y=70

Explanation:

Given that

x added to a number y is equal to 100 which means that

x + y=100

and also that

y is also equal to 10 more than the number x doubled which is

y =10+ 2x

we have the linear systems to solve the equations as

x + y=100---1

y =10+ 2x-----2

Solving

Putting the value of y =10+ 2x in equation 1

x +10+ 2x =100

10+3x=100

3x=100-10

x=90/3=30

x=30

y=10 +2x = 10+2x30 =70