Let's eliminate x in the system
<span>
2x-5y=-5
x+2y=11
To do this, mult. the 2nd eqn by -2:
</span> 2x-5y=-5
-x-4y=-22
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-9y= -27. This yields y = 3.
Now subst. 3 for y in either of the original equations to determine x.
Write your answer as an ordered pair: ( ? , 3).
Answer:
80%
Step-by-step explanation:
Yes, the answer is rational.
He should boil 12.5 gallons of water for 5 cups of oats.
To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:
m + b = 24
b = 2m - 3
To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.
m + b = 24
m + 2m - 3 = 24
To simplify, we must first combine the variable terms on the left side of the equation using addition.
3m - 3 = 24
Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.
3m = 27
Finally, we should divide both sides by 3 in order to get the variable m alone.
m = 9
Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).
Hope this helps!
