Question

X+y=105 x-y=19 metodo de reduccion

Answer 1

x = 62

y = 43

Explanation:

x + y = 105

x - y = 19

subtract both sides

• x - x = 0
• y - (-y) = 2y
• 105 - 19 = 86

We are left with 2y = 86

∴ Divide both sides by 2

y = 43

for the x part, you can pick an equation from one of the above equation

• Let's pick the first one (x + y = 105)
• substitute y into the equation (x + 43 = 105)
• make x subject of the formula
• ( x = 105 - 43) = 62

∴ x = 62, y = 43