So for this question (for finding x and y) you will want to use elimination. To do this you will need to bring the x and y to the same side (I put them on the left):
-3/2x+y=6
x+y=0
Now subtract the y on the bottom from the top to isolate x:
3/2x=6
Now the easiest way to bring over the 3/2 to isolate the x fully is to convert it to decimal (1.5) and divide it by 6 (because when multiplication on one side of problem the only way to bring it over is to divide):
x=6/1.5
which simplifies to:
x=4
Hope this helps!
Two supplementary angles are in the ratio 3:7. Find the angles ?
Let the two angles be 3x and 7x.
Supplementary angles add up to 180 degrees.
Therefore:
3x + 7x = 180
10x = 180
x = 18
3x = 3 * 18 = 54
7x = 7 * 18 = 126
Answer:
$1129.93
Step-by-step explanation:
100 - 9.5 = 90.5
8000 - 90.5 = 7909.5
7909.5 ÷ 7 = 1129.93
i hope this helps
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old