To factor <span>54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.
54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81
9 is the gcf, so factor it out.
</span><span>54x+81 = <u>9</u>(6x + 9)</span><span>
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Multiply the initial price by the percentage. move the decimal two places to the left
p=price
q=percentage
p x q=total
p - total= answer
30 x 15=450
30 - 4.50= 25.5
sale price= 25.5
Answer:
3y + 5x + 25 = 0
Step-by-step explanation:
Step 1: Find the coordinates of intersection of the two lines by solving the two equations.
4x + y = -13
3x - 4y = 14
Step 2: To eliminate y, make the coefficient equal, add if the variable have the different sign and subtract if the have the same sign.
4x + y = -13 ---(1) x 4
3x - 4y = 14 ---(2) x 1
16x + 4y = -52
3x - 4y = 14
19x = -38
x = -38/19 = -2
Step 3: Substitute x = -2 to find y.
3x - 4y = 14
3(-2) - 4y = 14
-6 - 4y = 14
-4y = 14 + 6
-4y = 20
Step 4:
Therefore, the point of intersection is (x,y) = (-2,-5)
Hence the line passes through the point (-2, -5)
Step 6: since the line that passes through (-2, -5) is parallel to 5x + 3y - 4 = 0, the slope will the equal to the slope of 5x + 3y - 4 = 0
For parallel lines
m1 = m2
5x + 3y - 4 = 0
3y = -5x + 4
m1 = -5/3
m2 = -5/3