Y2-y1 divides by x2-x1 = 4/9
3a + b = 54
Substitute b for 9
3a + 9 = 54
Subtract 9 to both sides
3a = 45
Divide 3 to both sides
a = 15
X/2 +3y = 6 . . . . . . . . starting point
x/2 = 6 -3y . . . . . . . . subtract terms that don't have x
x = 2(6 -3y) . . . . . . . . multiply by the inverse of the x-coefficient
x = 12 -6y . . . . . . . . . expand if you like
3y = 6 -x/2 . . . . . . . . subtract terms that don't have y
y = (6 -x/2)/3 . . . . . . . multiply by the inverse of the y-coefficient
y = 2 -x/6 . . . . . . . . . expand if you like
Answer: 22.5 yards
Step-by-step explanation:
There are a total of 20 parts yarn. This means that 3/20 of the carpet is silver. So in order to compare this to the 150 meters of total yarn, you would set up this equation:
3/20 = x/150
Next, you cross multiply:
3*150 = 20*x or simplified would be 450 = 20x
Next, you divide both sides by 20 to get x by itself.
450/20 = 22.5, so x is equal to 22.5
This means you have 22.5 yards of silver in the carpet.
