Question

BRAINLY PLUS 100 points

Answer 1

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

Answer 2

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