1. A. y and 1.2y are like terms. c they both contain the same term (y) and can therefore be combined.
2. B. 12x+11 (you have to combine the like terms)
3. 15y+18-4
C. 15y+14 (you must distribute the 3 to inside the parentheses, so 3×5y and 3×6)
4. 9(9-3p) (you have to find a common factor between the terms, in this case 9, and you place it on the outside of the parentheses, while dividing that factor from those terms, which are placed in parentheses.
Answer:
3 31/36 inches
Step-by-step explanation:
11 1/9 = 100/9
7 1/4 = 29/4
100/9 = 400/36
29/4 = 261/36
400/36 - 261/36 = 139/36
139/36 = 3 31/36
Answer: x = 5, y = -1
<u>Step-by-step explanation:</u>
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
<em>I chose to eliminate y.</em> The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> <u> 6x - 10y</u> = <u>40 </u>
26x = 130
<u> ÷26 </u> <u>÷26 </u>
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
<u> -20 </u> <u>-20 </u>
2y = -2
<u> ÷2 </u> <u> ÷2 </u>
y = -1
