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(-x + y = 5) (7x -6y = -25) -x + y = 5 7x -6y = -25 o x + o y = try

Question

(-x + y = 5)
(7x -6y = -25)
-x + y = 5
7x -6y = -25
o x + o y = try

Explanation:

Step1: Eliminate x via scaling first eq

Multiply first equation by 7:
$$7(-x + y) = 7 \times 5 \implies -7x + 7y = 35$$

Step2: Add to second equation

Add scaled first eq to second eq:
$$(-7x + 7y) + (7x - 6y) = 35 + (-25)$$

Step3: Simplify to find total

Combine like terms:
$$(-7x+7x)+(7y-6y)=35-25 \implies 0x + 0y = 10$$

Answer:

10