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Find an ordered pair that satisfies the equation 4x+y=6 by letting y=-2 The ordered pair is ◻

Find an ordered pair that satisfies the equation 4x+y=6 4 x+y=6 by letting y=−2 y=-2 \newlineThe ordered pair is □ \square

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Q. Find an ordered pair that satisfies the equation 4x+y=6 4 x+y=6 by letting y=−2 y=-2 \newlineThe ordered pair is □ \square
  1. Substitute yy into equation: We are given the equation 4x+y=64x + y = 6 and we want to find an ordered pair (x,y)(x, y) that satisfies this equation when yy is set to −2-2.\newlineFirst, substitute y=−2y = -2 into the equation.\newline4x+(−2)=64x + (-2) = 6
  2. Simplify by adding 22: Now, simplify the equation by adding 22 to both sides to isolate the term with xx.\newline4x−2+2=6+24x - 2 + 2 = 6 + 2\newline4x=84x = 8
  3. Divide by 44: Next, divide both sides of the equation by 44 to solve for x.\newline4x4=84\frac{4x}{4} = \frac{8}{4}\newlinex=2x = 2
  4. Form ordered pair: Now that we have found x=2x = 2 and we know y=−2y = -2, we can form the ordered pair (x,y)(x, y).\newlineThe ordered pair is (2,−2)(2, -2).

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