Question

Solve by the elimination method

Answer 1

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

$6x= 64+2y\\2x= -7-5y$

Rearranging the equations:

$6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)$

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

$30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9$

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

$12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5$

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

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