<span>Solve </span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3
</span></span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3</span></span>Step: Solve <span>x=<span><span>3y</span>+5</span></span>for x:Step: Substitute <span><span>3y</span>+5 </span>for x in <span><span><span>x−<span>4y</span></span>=3</span>:</span><span><span>x−<span>4y</span></span>=3</span><span><span><span><span>3y</span>+5</span>−<span>4y</span></span>=3</span><span><span><span>−y</span>+5</span>=3 </span>Simplify both sides of the equation<span><span><span><span>−y</span>+5</span>+<span>−5</span></span>=<span>3+<span>−5 </span></span></span>Add -5 to both sides<span><span>−y</span>=<span>−2</span></span><span><span><span>−y</span><span>−1</span></span>=<span><span>−2</span><span>−1 </span></span></span>Divide both sides by -1<span>y=2</span>Step: Substitute 2 for y in <span><span>x =<span><span>3y</span>+5</span></span>:</span><span>x=<span><span>3y</span>+5</span></span><span>x=<span><span><span>(3)</span><span>(2)</span></span>+5</span></span><span>x=11 </span>Simplify both sides of the equationAnswer:<span><span>x=<span><span>11<span> and </span></span>y</span></span>=<span>2</span></span>
The number of sugar cubes in the box is 180
<h3>How to determine the number of sugar cubes?</h3>
The given parameters are:
- Layers = 5
- Pieces = 2 or 3
- Cups of tea = 61 and 88
Multiply 61 and 88 by 2 and 3
61 * 2 = 122
61 * 3 = 183
88 * 2 = 176
88 * 3 = 264
The number of sugar cubes cannot be 122 and 264, because they are out of the range
So, we have:
183 and 176
There are 5 layers.
This means that the number of sugar cubes is divisible by 5.
The only number between 176 and 183 that is divisible by 5 is 180
Hence, the number of sugar cubes is 180
Read more about sequence at:
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Step-by-step explanation:
