plus 100 points
the sum of two cumbersome is 10. when one number is added to twice the other number the result is 16. find the numbers. hint answer is x equal 4 and y is equal to six
note that this is simultaneous equations and show full working out.

Short answer is x = 4, y = 6

Equation:

From the information given we start with the following equations:

X + Y = 10

X + 2Y = 16

Subtract y to move it across the equation

X = 10 - Y

X + 2Y = 16

We have an equation for x,  so plug it into the second equation.

10 - Y + 2Y = 16

-y + 2y = y

10 + y = 16

y = 6

plug y into first equation

x + 6 = 10

x = 4

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3