Answer:
C
Step-by-step explanation:
We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.
3x+4y=8 Equation 1
2x+y=42 Equation 2
Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x
2(3x+4y=8)= 6x+8y=16 Equation 3
3(2x+y=42)= 6x+3y=126 Equation 4
Subtract equation 4 from 3, to eliminate x
6x-6x=0
8y-3y= 5y
16-126= -110
We now have 5y=-110
Divide both sides by 5,
y= -110/5
= -22
Substituting for y in equation 2
2x+(-22)= 42
2x= 42+22
2x=64
x= 64/2
= 32
(x, y)
(32, -22)
What do you need help with?
Answer:
415/619
Step-by-step explanation:
619 is a prime number, so the fraction is in simplest form already.
Hello!
To calculate how many votes Mrs. Jones had received, you would begin by converting 70% into a decimal, and then multiplying that decimal by the total number of votes.
Remember, all percentages are out of 100. So, 70/100 can be simplified into 7/10. As a decimal, 7/10 would be 0.7.
Next, we multiply 0.7 by the total number of votes, which is 1,500.
0.7 · 1500 = 1050
Therefore, in this election, Mrs. Jones received 1,050 votes out of the total 1,500 votes casted.
