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Brums [2.3K]
2 years ago
13

1. Is (0,9) a solution? y = -3x + 5

Mathematics
2 answers:
nikdorinn [45]2 years ago
6 0

1. Is (0,9) a solution?

y = -3x + 5

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Solution⤵️</h3>

Let us observe the given things;

  • <u>An</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>given</u><u> </u><u>with</u><u> </u><u>variables</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u>
  • <u>The</u><u> </u><u>values</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u><u> </u><u>are</u><u> </u><u>given</u>
  • <u>We</u><u> </u><u>have</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>whether</u><u> </u><u>they</u><u> </u><u>are</u><u> </u><u>the</u><u> </u><u>correct</u><u> </u><u>values</u><u> </u><u>or</u><u> </u><u>not</u>
  • <u>Let</u><u> </u><u>us</u><u> </u><u>verify</u><u> </u><u>if</u><u> </u><u>they</u><u> </u><u>are</u><u> </u><u>a</u><u> </u><u>solution</u><u> </u><u>or</u><u> </u><u>not</u><u>!</u><u>~</u>

\sf ⟾ \:  \red{y =  - 3x + 5}

Plug in the x and y values I.e. x=0 & y=9 respectively

\sf⟾  \: \orange{9 =  - 3 \times 0 + 5}

Multiply the numbers

\sf ⟾ \:  \green{9 = 0 + 5}

Add the numbers

\sf⟾ \:  \blue{9 = 5}

Check the equality

\sf⟾ \:  \purple{9 \cancel = 5}

They are not equal!

<em>Since</em><em>,</em><em> </em><em>They</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>equal</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>conclude</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>coordinates</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>a</em><em> </em><em>solution</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>equation</em><em>!</em><em>!</em><em>~</em>

irinina [24]2 years ago
4 0

Answer:

no

Step-by-step explanation:

to determine if (0, 9 ) is a solution substitute x = 0 into the equation and if the result is 9 then it is a solution

y = - 3(0) + 5 = 0 + 5 = 5 ≠ 9

then (0, 9 ) is not a solution to the equation

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