Question

Solve the system using the addition method. State your solution as an ordered pair.

Answer 1

Solution as ordered pair is:

(5,$\frac{41}{2}$)

Step-by-step explanation:

Solving the system of equations:

$3x+2y=56\,\,\,(1)\\9x-2y=4\,\,\,(2)$

Adding equation(1) and equation(2)

$3x+2y=56\\9x-2y=4\\--------\\12x=60\\x=\frac{60}{12}\\x=5$

Putting value of x i.e x=5 in equation(1)

$3x+2y=56\\3(5)+2y=56\\ 15+2y=56\\2y=56-15\\2y=41\\y=\frac{41}{2}\\y=\frac{41}{2}$

So, value of x=5 and y=$\frac{41}{2}$

Solution as ordered pair is:

(5,$\frac{41}{2}$)

Keywords:System of Equations

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