BRAINLY 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
Please note that this is simultaneous equations and show full working out.

Respuesta :

X + Y = 10
X + 2Y = 16
First, subtract Y from both sides in X + Y = 10.
X = 10 - Y
X + 2Y = 16
Next, plug X into X + 2Y = 16.
X = 10 - Y
10 - Y + 2Y = 16
Afterwards, simplify.
X = 10 - Y
Y + 10 = 16
Subtract 10 from both sides in Y + 10 = 16
X = 10 - Y
Y = 6
Finally, plug Y into X = 10 - Y
X = 10 - 6
Y = 6
Simplify
X = 4
Y = 6
xew

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

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