Answer:
<em>x </em>= 2
<em>y </em>= -1
Step-by-step explanation:
<em>8x </em>+ <em>2y </em>= 14
<em>2x </em>+ <em>y </em>= 3
In order to find the number <em>x</em> represents, you have to make the number of <em>y </em>for both equations the same. So:
<em>8x </em>+ <em>2y</em><em> </em>= 14
(×2) <em>4x </em>+ <em>2y</em><em> </em>= 6 (×2)
Then, you can cancel the <em>y </em>off both equations, which will leave:
<em>8x </em>= 14
<em>4x </em>= 6
To find <em>4x</em>, you have to find the difference between both equations, so you have to:
14 - 6 = 8
Now that the actual number <em>4x </em>represents is 8, so:
<em>4x </em>= 8
(÷4) <em>x </em>= 2 (÷4)
Now to find <em>y</em>, substitute the letter <em>x</em> with 2:
<em>2x </em>+ <em>y </em>= 3
<em>2 </em>(2)<em> </em>+ <em>y </em>= 3
<em>4 </em>+ <em>y </em>= 3
<em>4 - 3 </em>= -<em>y </em>
<em>1 </em>= -<em>y</em>
(× -) <em>-1 </em>= <em>y </em>(× -)
Answer: <em>x </em>= 2
<em> y </em>= -1
Hope this helps! :)
(NOTE: Do you mind marking me as Brainliest?)