Answer:
<h2>The easiest to solve for is x in the first equation</h2>
Step-by-step explanation:
Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.
x + 4 y = 14............ 1 * 3
3 x + 2 y = 12 ............ 2 * 1
Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.
3x + 12 y = 42.
3 x + 2 y = 12
Taking the diffrence;
12-2y =42 - 12
10y = 30
y = 3
From equation 1, x = 14-4y
x = 14-4(3)
x = 14-12
x = 2
It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily <u>because the variable x has no coefficient in equation 1 compare to equation 2 </u>as such it will be easier to make the substitute for x in the first equation.
Answer:
4 and 7/12
Step-by-step explanation:
This is addition with fractions.
We must convert to the same denominator.
1/3 and 1/4 becomes 4/12 and 3/12
This makes 7/12
1 add 3 add 7/12 is 4 and 7/12
Impossible to anwer ..............................................
Ratio is a way of comparing two numbers which are of the same kind. It is normally expressed by separating two numbers with a colon(:) or you could also use division sign (/). The only way that ratios can have mean is that both number should be non-zeros and both of them should have the same sign. Thus having this in mind, the ratio of the numbers above will be:
(1357k)/(298k)
=1357:298
Answer:
72 Wrong, so find how many are right with 135 total
Step-by-step explanation:
It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.
so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number. If it helps 8/15 is about 53%. just like 1/2 is half. So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.
so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72. So 72 wrong so al others are right, which you get with 135-72 = 63.
You could also do 135*(1-8/15) = 135 * 7/15. if you ever want to find something NOT part of the proportion you do 1 - that proportion.