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
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
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