After a snowball fight, Chad made 4 mugs of hot chocolate to help everyone warm up. He had 1/2 of a cup of marshmallows and put
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Answer :
Step-by-step explanation:
A linear inequality in two variables is given to us and we need to plot it's graph .So the the given inequality is ,
So firstly let's simplify out the inequality for easy plotting of the graph .
Now let's put some values of x to get values of y .
• Firstly put x = 0 then we get , y is greater than or equal to 0+5/5 (-1) = 5/5(-1) = -1 . Hence we get y ≥ (-1) .
• Secondly put x = 1 , then we get , y is greater than or equal to 1+5/5(-1)=6/5(-1) = -6/5 . Hence we get y ≥ -6/5 .
• Thirdly put x = -1 , then we get y is greater than or equal to -1+5/5(-1) = -4/5 . Hence we get y ≥ -4/5
• Fourthly put x = (-5) , then we get y is greater than or equal to -5+5/5(-1) = 0 .Hence we get y ≥ 0 .
With reference to these let's plot a graph . For the graph kindly refer to the attachment :) .
Here in the graph the red area shows the possible values of x and y .
So we want to solve <span><span><span>2x </span>− 40 </span>= <span>3y </span></span>for x<span><span><span><span>2x </span>− 40 </span>+ 40 </span>= <span><span>3y </span>+ 40</span></span>(Add 40 to both sides!)<span><span>2x </span>= <span><span>3y </span>+ <span>40
Now divide both sides by 2!
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Now substitute
Which then gives us..
<span><span>2y </span>= <span><span>−<span>6y </span></span>− 32</span></span>(Make sure to simplify both sides of the equation)<span><span><span>2y </span>+ <span>6y </span></span>= <span><span><span>−<span>6y </span></span>− 32 </span>+ <span>6y</span></span></span>(Now add 6y to both sides)<span><span>8y </span>= <span>−<span>32
Now divide both sides by 8
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Now we have to substitute -4 for y in
So we end up getting...
<span>x = <span><span>14<span> and </span></span>y </span></span>= <span>−<span>4.
</span></span>Hope this helps!
Now divide both sides by 2!
</span></span></span>
Now substitute
Which then gives us..
<span><span>2y </span>= <span><span>−<span>6y </span></span>− 32</span></span>(Make sure to simplify both sides of the equation)<span><span><span>2y </span>+ <span>6y </span></span>= <span><span><span>−<span>6y </span></span>− 32 </span>+ <span>6y</span></span></span>(Now add 6y to both sides)<span><span>8y </span>= <span>−<span>32
Now divide both sides by 8
</span></span></span>
Now we have to substitute -4 for y in
So we end up getting...
<span>x = <span><span>14<span> and </span></span>y </span></span>= <span>−<span>4.
</span></span>Hope this helps!