To eliminate a cariable in a system of equations, we multiply the variable by a factor that will make both coefficients of the variable to be equal.
Thus, we multiply the coefficient of y in the second equation by a factor that will make it equal to the coefficient of y in the first equation. i.e. multiply 1/2 by a factor that makes it equal to 3/4. and the factor is 3/2.
Therefore, the third option is the correct answer.
X= mountain dew y= coke
-(5x+5y=1160)
8x+5y=1523
-5x-5y=-1160
+
8x+5y=1523
<u>3x</u>=<u>363
</u><u />3 3
x=121 g of sugar in Mt. Dew
8x+5y=1523 plug in 3 in x
24+5y-24= 1523-24
<u>5y</u>= <u>1499
</u>5 5
y= 299.8 grams of sugar in coke
The worst case is when you pull 4 out and have 4 different colors. the 5th sock MUST match one of these. 5 is the answer
4x-4>20
Step 1: Add four to both sides
4x-4+4>20+4
4x>24
Step 2: Divide both sides by 4
4x divided by 4 and 24 divided by 4
Answer: x>6
Kahal accidentally subtracted instead of adding. He made a mistake in step 2.
