Question

Please help me understand

Answer 1

Answer:

  yes

Step-by-step explanation:

The offered ordered pair is a solution if those x- and y-values satisfy both equations. Let's check:

  9x +y = 10

  9(1) +(1) = 9 +1 = 10 . . . . true

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  6x +5y = 11

  6(1) +5(1) = 6 +5 = 11 . . . . true

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The ordered pair (x, y) = (1, 1) satisfies both equations, so (1, 1) is a solution to this system.

Answer 2

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1) Placing (1,1) in equation 9x + y = 10

$:\implies\tt{9(1) + 1 = 10} \\ \\ :\implies\tt{9 + 1 = 10} \\ \\ :\implies\tt{10 = 10} \\ \\ :\implies\tt{lhs = rhs}$

2) Placing (1,1) in equation 6x + 5y = 11

$:\implies\tt{6(1) + 5(1) = 11} \\ \\ :\implies\tt{6 + 5 = 11} \\ \\ :\implies\tt{11 = 11} \\ \\ :\implies\tt{lhs = rhs}$

• Thus, the ordered pair (x,y) = (1.1) satisfies both the equations so it is solution to the given system.